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Finding the Third Proportional to 3,098,981 and 6,695,915

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Solution

The third proportional to 3,098,981 and 6,695,915 is: 14,467,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,981 : 6,695,915 = 6,695,915 : x
  2. Step 2: Convert to fraction form
    3,098,981/6,695,915 = 6,695,915/x
  3. Step 3: Cross multiply
    3,098,981x = 6,695,915 × 6,695,915
  4. Step 4: Simplify right side
    3,098,981x = 44,835,277,687,225
  5. Step 5: Solve for x
    x = 44,835,277,687,225/3,098,981
  6. Step 6: Final answer
    x = 14,467,748.49

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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.