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Finding the Third Proportional to 3,170,730 and 6,789,862.50

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Solution

The third proportional to 3,170,730 and 6,789,862.50 is: 14,539,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,730 : 6,789,862.50 = 6,789,862.50 : x
  2. Step 2: Convert to fraction form
    3,170,730/6,789,862.50 = 6,789,862.50/x
  3. Step 3: Cross multiply
    3,170,730x = 6,789,862.50 × 6,789,862.50
  4. Step 4: Simplify right side
    3,170,730x = 46,102,232,768,906.25
  5. Step 5: Solve for x
    x = 46,102,232,768,906.25/3,170,730
  6. Step 6: Final answer
    x = 14,539,942.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.