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Finding the Third Proportional to 10,817,461 and 16,727,349

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Solution

The third proportional to 10,817,461 and 16,727,349 is: 25,865,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817,461 : 16,727,349 = 16,727,349 : x
  2. Step 2: Convert to fraction form
    10,817,461/16,727,349 = 16,727,349/x
  3. Step 3: Cross multiply
    10,817,461x = 16,727,349 × 16,727,349
  4. Step 4: Simplify right side
    10,817,461x = 279,804,204,567,801
  5. Step 5: Solve for x
    x = 279,804,204,567,801/10,817,461
  6. Step 6: Final answer
    x = 25,865,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.