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Finding the Third Proportional to 52,984,972.50 and 71,564,891.25

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Solution

The third proportional to 52,984,972.50 and 71,564,891.25 is: 96,660,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984,972.50 : 71,564,891.25 = 71,564,891.25 : x
  2. Step 2: Convert to fraction form
    52,984,972.50/71,564,891.25 = 71,564,891.25/x
  3. Step 3: Cross multiply
    52,984,972.50x = 71,564,891.25 × 71,564,891.25
  4. Step 4: Simplify right side
    52,984,972.50x = 5,121,533,659,624,327
  5. Step 5: Solve for x
    x = 5,121,533,659,624,327/52,984,972.50
  6. Step 6: Final answer
    x = 96,660,117.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.