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Finding the Third Proportional to 3,296,883,187,709.70 and 4,987,727,216,730.20

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Solution

The third proportional to 3,296,883,187,709.70 and 4,987,727,216,730.20 is: 7,545,739,831,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,883,187,709.70 : 4,987,727,216,730.20 = 4,987,727,216,730.20 : x
  2. Step 2: Convert to fraction form
    3,296,883,187,709.70/4,987,727,216,730.20 = 4,987,727,216,730.20/x
  3. Step 3: Cross multiply
    3,296,883,187,709.70x = 4,987,727,216,730.20 × 4,987,727,216,730.20
  4. Step 4: Simplify right side
    3,296,883,187,709.70x = 24,877,422,788,511,187,477,725,184
  5. Step 5: Solve for x
    x = 24,877,422,788,511,187,477,725,184/3,296,883,187,709.70
  6. Step 6: Final answer
    x = 7,545,739,831,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.