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Finding the Third Proportional to 27,502,509 and 58,283,411.25

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Solution

The third proportional to 27,502,509 and 58,283,411.25 is: 123,514,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502,509 : 58,283,411.25 = 58,283,411.25 : x
  2. Step 2: Convert to fraction form
    27,502,509/58,283,411.25 = 58,283,411.25/x
  3. Step 3: Cross multiply
    27,502,509x = 58,283,411.25 × 58,283,411.25
  4. Step 4: Simplify right side
    27,502,509x = 3,396,956,026,936,626.50
  5. Step 5: Solve for x
    x = 3,396,956,026,936,626.50/27,502,509
  6. Step 6: Final answer
    x = 123,514,404.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.