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Finding the Third Proportional to 74,080,799 and 159,539,773.25

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Solution

The third proportional to 74,080,799 and 159,539,773.25 is: 343,583,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080,799 : 159,539,773.25 = 159,539,773.25 : x
  2. Step 2: Convert to fraction form
    74,080,799/159,539,773.25 = 159,539,773.25/x
  3. Step 3: Cross multiply
    74,080,799x = 159,539,773.25 × 159,539,773.25
  4. Step 4: Simplify right side
    74,080,799x = 25,452,939,248,661,416
  5. Step 5: Solve for x
    x = 25,452,939,248,661,416/74,080,799
  6. Step 6: Final answer
    x = 343,583,487.11

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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.