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Finding the Third Proportional to 27,671,699.25 and 64,061,344.13

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Solution

The third proportional to 27,671,699.25 and 64,061,344.13 is: 148,305,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,699.25 : 64,061,344.13 = 64,061,344.13 : x
  2. Step 2: Convert to fraction form
    27,671,699.25/64,061,344.13 = 64,061,344.13/x
  3. Step 3: Cross multiply
    27,671,699.25x = 64,061,344.13 × 64,061,344.13
  4. Step 4: Simplify right side
    27,671,699.25x = 4,103,855,811,101,672
  5. Step 5: Solve for x
    x = 4,103,855,811,101,672/27,671,699.25
  6. Step 6: Final answer
    x = 148,305,160.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.