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Finding the Third Proportional to 71,973,654 and 155,415,720

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Solution

The third proportional to 71,973,654 and 155,415,720 is: 335,595,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,973,654 : 155,415,720 = 155,415,720 : x
  2. Step 2: Convert to fraction form
    71,973,654/155,415,720 = 155,415,720/x
  3. Step 3: Cross multiply
    71,973,654x = 155,415,720 × 155,415,720
  4. Step 4: Simplify right side
    71,973,654x = 24,154,046,023,118,400
  5. Step 5: Solve for x
    x = 24,154,046,023,118,400/71,973,654
  6. Step 6: Final answer
    x = 335,595,661.48

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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.