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Finding the Third Proportional to 25,687,414.50 and 35,224,377

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Solution

The third proportional to 25,687,414.50 and 35,224,377 is: 48,302,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687,414.50 : 35,224,377 = 35,224,377 : x
  2. Step 2: Convert to fraction form
    25,687,414.50/35,224,377 = 35,224,377/x
  3. Step 3: Cross multiply
    25,687,414.50x = 35,224,377 × 35,224,377
  4. Step 4: Simplify right side
    25,687,414.50x = 1,240,756,735,038,129
  5. Step 5: Solve for x
    x = 1,240,756,735,038,129/25,687,414.50
  6. Step 6: Final answer
    x = 48,302,126.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.