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Finding the Third Proportional to 10,613,990 and 22,742,478

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Solution

The third proportional to 10,613,990 and 22,742,478 is: 48,730,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613,990 : 22,742,478 = 22,742,478 : x
  2. Step 2: Convert to fraction form
    10,613,990/22,742,478 = 22,742,478/x
  3. Step 3: Cross multiply
    10,613,990x = 22,742,478 × 22,742,478
  4. Step 4: Simplify right side
    10,613,990x = 517,220,305,580,484
  5. Step 5: Solve for x
    x = 517,220,305,580,484/10,613,990
  6. Step 6: Final answer
    x = 48,730,053.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.