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Finding the Third Proportional to 62,767,093 and 135,442,742

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Solution

The third proportional to 62,767,093 and 135,442,742 is: 292,266,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,767,093 : 135,442,742 = 135,442,742 : x
  2. Step 2: Convert to fraction form
    62,767,093/135,442,742 = 135,442,742/x
  3. Step 3: Cross multiply
    62,767,093x = 135,442,742 × 135,442,742
  4. Step 4: Simplify right side
    62,767,093x = 18,344,736,360,478,564
  5. Step 5: Solve for x
    x = 18,344,736,360,478,564/62,767,093
  6. Step 6: Final answer
    x = 292,266,783.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.