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Finding the Third Proportional to 10,020,789 and 21,956,742

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Solution

The third proportional to 10,020,789 and 21,956,742 is: 48,109,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020,789 : 21,956,742 = 21,956,742 : x
  2. Step 2: Convert to fraction form
    10,020,789/21,956,742 = 21,956,742/x
  3. Step 3: Cross multiply
    10,020,789x = 21,956,742 × 21,956,742
  4. Step 4: Simplify right side
    10,020,789x = 482,098,519,254,564
  5. Step 5: Solve for x
    x = 482,098,519,254,564/10,020,789
  6. Step 6: Final answer
    x = 48,109,836.39

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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.