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Finding the Third Proportional to 6,418,466 and 13,988,068

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Solution

The third proportional to 6,418,466 and 13,988,068 is: 30,484,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,466 : 13,988,068 = 13,988,068 : x
  2. Step 2: Convert to fraction form
    6,418,466/13,988,068 = 13,988,068/x
  3. Step 3: Cross multiply
    6,418,466x = 13,988,068 × 13,988,068
  4. Step 4: Simplify right side
    6,418,466x = 195,666,046,372,624
  5. Step 5: Solve for x
    x = 195,666,046,372,624/6,418,466
  6. Step 6: Final answer
    x = 30,484,861.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.