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Finding the Third Proportional to 24,569,938.50 and 39,114,489.50

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Solution

The third proportional to 24,569,938.50 and 39,114,489.50 is: 62,268,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569,938.50 : 39,114,489.50 = 39,114,489.50 : x
  2. Step 2: Convert to fraction form
    24,569,938.50/39,114,489.50 = 39,114,489.50/x
  3. Step 3: Cross multiply
    24,569,938.50x = 39,114,489.50 × 39,114,489.50
  4. Step 4: Simplify right side
    24,569,938.50x = 1,529,943,288,845,610.25
  5. Step 5: Solve for x
    x = 1,529,943,288,845,610.25/24,569,938.50
  6. Step 6: Final answer
    x = 62,268,909.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.