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Finding the Third Proportional to 49,127,167 and 77,056,566

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Solution

The third proportional to 49,127,167 and 77,056,566 is: 120,864,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,127,167 : 77,056,566 = 77,056,566 : x
  2. Step 2: Convert to fraction form
    49,127,167/77,056,566 = 77,056,566/x
  3. Step 3: Cross multiply
    49,127,167x = 77,056,566 × 77,056,566
  4. Step 4: Simplify right side
    49,127,167x = 5,937,714,363,712,356
  5. Step 5: Solve for x
    x = 5,937,714,363,712,356/49,127,167
  6. Step 6: Final answer
    x = 120,864,172.03

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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.