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Finding the Third Proportional to 6,668,217,871 and 13,167,791,792

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Solution

The third proportional to 6,668,217,871 and 13,167,791,792 is: 26,002,560,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668,217,871 : 13,167,791,792 = 13,167,791,792 : x
  2. Step 2: Convert to fraction form
    6,668,217,871/13,167,791,792 = 13,167,791,792/x
  3. Step 3: Cross multiply
    6,668,217,871x = 13,167,791,792 × 13,167,791,792
  4. Step 4: Simplify right side
    6,668,217,871x = 173,390,740,677,462,556,672
  5. Step 5: Solve for x
    x = 173,390,740,677,462,556,672/6,668,217,871
  6. Step 6: Final answer
    x = 26,002,560,808.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.