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Finding the Third Proportional to 27,587,900 and 65,032,376

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Solution

The third proportional to 27,587,900 and 65,032,376 is: 153,299,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587,900 : 65,032,376 = 65,032,376 : x
  2. Step 2: Convert to fraction form
    27,587,900/65,032,376 = 65,032,376/x
  3. Step 3: Cross multiply
    27,587,900x = 65,032,376 × 65,032,376
  4. Step 4: Simplify right side
    27,587,900x = 4,229,209,928,205,376
  5. Step 5: Solve for x
    x = 4,229,209,928,205,376/27,587,900
  6. Step 6: Final answer
    x = 153,299,451.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.