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Finding the Third Proportional to 6,371,073 and 13,756,419

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Solution

The third proportional to 6,371,073 and 13,756,419 is: 29,702,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,073 : 13,756,419 = 13,756,419 : x
  2. Step 2: Convert to fraction form
    6,371,073/13,756,419 = 13,756,419/x
  3. Step 3: Cross multiply
    6,371,073x = 13,756,419 × 13,756,419
  4. Step 4: Simplify right side
    6,371,073x = 189,239,063,703,561
  5. Step 5: Solve for x
    x = 189,239,063,703,561/6,371,073
  6. Step 6: Final answer
    x = 29,702,855.97

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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.