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Finding the Third Proportional to 476,068,490.44 and 735,327,023.91

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Solution

The third proportional to 476,068,490.44 and 735,327,023.91 is: 1,135,773,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,068,490.44 : 735,327,023.91 = 735,327,023.91 : x
  2. Step 2: Convert to fraction form
    476,068,490.44/735,327,023.91 = 735,327,023.91/x
  3. Step 3: Cross multiply
    476,068,490.44x = 735,327,023.91 × 735,327,023.91
  4. Step 4: Simplify right side
    476,068,490.44x = 540,705,832,086,822,784
  5. Step 5: Solve for x
    x = 540,705,832,086,822,784/476,068,490.44
  6. Step 6: Final answer
    x = 1,135,773,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.