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Finding the Third Proportional to 35,986,834 and 77,707,872

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Solution

The third proportional to 35,986,834 and 77,707,872 is: 167,797,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,834 : 77,707,872 = 77,707,872 : x
  2. Step 2: Convert to fraction form
    35,986,834/77,707,872 = 77,707,872/x
  3. Step 3: Cross multiply
    35,986,834x = 77,707,872 × 77,707,872
  4. Step 4: Simplify right side
    35,986,834x = 6,038,513,370,768,384
  5. Step 5: Solve for x
    x = 6,038,513,370,768,384/35,986,834
  6. Step 6: Final answer
    x = 167,797,849.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.