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Finding the Third Proportional to 23,881,974 and 51,818,646

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Solution

The third proportional to 23,881,974 and 51,818,646 is: 112,435,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881,974 : 51,818,646 = 51,818,646 : x
  2. Step 2: Convert to fraction form
    23,881,974/51,818,646 = 51,818,646/x
  3. Step 3: Cross multiply
    23,881,974x = 51,818,646 × 51,818,646
  4. Step 4: Simplify right side
    23,881,974x = 2,685,172,073,273,316
  5. Step 5: Solve for x
    x = 2,685,172,073,273,316/23,881,974
  6. Step 6: Final answer
    x = 112,435,097.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.