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Finding the Third Proportional to 14,199,471 and 31,101,817

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Solution

The third proportional to 14,199,471 and 31,101,817 is: 68,123,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,471 : 31,101,817 = 31,101,817 : x
  2. Step 2: Convert to fraction form
    14,199,471/31,101,817 = 31,101,817/x
  3. Step 3: Cross multiply
    14,199,471x = 31,101,817 × 31,101,817
  4. Step 4: Simplify right side
    14,199,471x = 967,323,020,701,489
  5. Step 5: Solve for x
    x = 967,323,020,701,489/14,199,471
  6. Step 6: Final answer
    x = 68,123,877.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.