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Finding the Third Proportional to 6,071,870 and 13,044,217

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Solution

The third proportional to 6,071,870 and 13,044,217 is: 28,022,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071,870 : 13,044,217 = 13,044,217 : x
  2. Step 2: Convert to fraction form
    6,071,870/13,044,217 = 13,044,217/x
  3. Step 3: Cross multiply
    6,071,870x = 13,044,217 × 13,044,217
  4. Step 4: Simplify right side
    6,071,870x = 170,151,597,143,089
  5. Step 5: Solve for x
    x = 170,151,597,143,089/6,071,870
  6. Step 6: Final answer
    x = 28,022,931.51

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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.