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Finding the Third Proportional to 74,614,968 and 160,567,320

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Solution

The third proportional to 74,614,968 and 160,567,320 is: 345,532,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614,968 : 160,567,320 = 160,567,320 : x
  2. Step 2: Convert to fraction form
    74,614,968/160,567,320 = 160,567,320/x
  3. Step 3: Cross multiply
    74,614,968x = 160,567,320 × 160,567,320
  4. Step 4: Simplify right side
    74,614,968x = 25,781,864,251,982,400
  5. Step 5: Solve for x
    x = 25,781,864,251,982,400/74,614,968
  6. Step 6: Final answer
    x = 345,532,068.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.