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Finding the Third Proportional to 614,860,976 and 1,327,697,272

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Solution

The third proportional to 614,860,976 and 1,327,697,272 is: 2,866,957,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,860,976 : 1,327,697,272 = 1,327,697,272 : x
  2. Step 2: Convert to fraction form
    614,860,976/1,327,697,272 = 1,327,697,272/x
  3. Step 3: Cross multiply
    614,860,976x = 1,327,697,272 × 1,327,697,272
  4. Step 4: Simplify right side
    614,860,976x = 1,762,780,046,076,241,920
  5. Step 5: Solve for x
    x = 1,762,780,046,076,241,920/614,860,976
  6. Step 6: Final answer
    x = 2,866,957,108.82

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