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Finding the Third Proportional to 53,832,453.75 and 83,516,706

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Solution

The third proportional to 53,832,453.75 and 83,516,706 is: 129,569,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832,453.75 : 83,516,706 = 83,516,706 : x
  2. Step 2: Convert to fraction form
    53,832,453.75/83,516,706 = 83,516,706/x
  3. Step 3: Cross multiply
    53,832,453.75x = 83,516,706 × 83,516,706
  4. Step 4: Simplify right side
    53,832,453.75x = 6,975,040,181,090,436
  5. Step 5: Solve for x
    x = 6,975,040,181,090,436/53,832,453.75
  6. Step 6: Final answer
    x = 129,569,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.