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Finding the Third Proportional to 8,125,830 and 16,881,511

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Solution

The third proportional to 8,125,830 and 16,881,511 is: 35,071,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125,830 : 16,881,511 = 16,881,511 : x
  2. Step 2: Convert to fraction form
    8,125,830/16,881,511 = 16,881,511/x
  3. Step 3: Cross multiply
    8,125,830x = 16,881,511 × 16,881,511
  4. Step 4: Simplify right side
    8,125,830x = 284,985,413,643,121
  5. Step 5: Solve for x
    x = 284,985,413,643,121/8,125,830
  6. Step 6: Final answer
    x = 35,071,545.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.