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Finding the Third Proportional to 3,867,497 and 8,196,031

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Solution

The third proportional to 3,867,497 and 8,196,031 is: 17,369,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,497 : 8,196,031 = 8,196,031 : x
  2. Step 2: Convert to fraction form
    3,867,497/8,196,031 = 8,196,031/x
  3. Step 3: Cross multiply
    3,867,497x = 8,196,031 × 8,196,031
  4. Step 4: Simplify right side
    3,867,497x = 67,174,924,152,961
  5. Step 5: Solve for x
    x = 67,174,924,152,961/3,867,497
  6. Step 6: Final answer
    x = 17,369,095.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.