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Finding the Third Proportional to 46,607,686.50 and 70,106,118.50

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Solution

The third proportional to 46,607,686.50 and 70,106,118.50 is: 105,451,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,607,686.50 : 70,106,118.50 = 70,106,118.50 : x
  2. Step 2: Convert to fraction form
    46,607,686.50/70,106,118.50 = 70,106,118.50/x
  3. Step 3: Cross multiply
    46,607,686.50x = 70,106,118.50 × 70,106,118.50
  4. Step 4: Simplify right side
    46,607,686.50x = 4,914,867,851,136,042
  5. Step 5: Solve for x
    x = 4,914,867,851,136,042/46,607,686.50
  6. Step 6: Final answer
    x = 105,451,873.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.