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Finding the Third Proportional to 6,508,902 and 13,997,394

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Solution

The third proportional to 6,508,902 and 13,997,394 is: 30,101,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,902 : 13,997,394 = 13,997,394 : x
  2. Step 2: Convert to fraction form
    6,508,902/13,997,394 = 13,997,394/x
  3. Step 3: Cross multiply
    6,508,902x = 13,997,394 × 13,997,394
  4. Step 4: Simplify right side
    6,508,902x = 195,927,038,791,236
  5. Step 5: Solve for x
    x = 195,927,038,791,236/6,508,902
  6. Step 6: Final answer
    x = 30,101,396.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.