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Finding the Third Proportional to 52,420,754.25 and 82,053,513

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Solution

The third proportional to 52,420,754.25 and 82,053,513 is: 128,437,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420,754.25 : 82,053,513 = 82,053,513 : x
  2. Step 2: Convert to fraction form
    52,420,754.25/82,053,513 = 82,053,513/x
  3. Step 3: Cross multiply
    52,420,754.25x = 82,053,513 × 82,053,513
  4. Step 4: Simplify right side
    52,420,754.25x = 6,732,778,995,641,169
  5. Step 5: Solve for x
    x = 6,732,778,995,641,169/52,420,754.25
  6. Step 6: Final answer
    x = 128,437,278.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.