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Finding the Third Proportional to 30,665,042 and 65,584,893

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Solution

The third proportional to 30,665,042 and 65,584,893 is: 140,269,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,042 : 65,584,893 = 65,584,893 : x
  2. Step 2: Convert to fraction form
    30,665,042/65,584,893 = 65,584,893/x
  3. Step 3: Cross multiply
    30,665,042x = 65,584,893 × 65,584,893
  4. Step 4: Simplify right side
    30,665,042x = 4,301,378,189,821,449
  5. Step 5: Solve for x
    x = 4,301,378,189,821,449/30,665,042
  6. Step 6: Final answer
    x = 140,269,763.52

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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.