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Finding the Third Proportional to 476,068,630.50 and 735,327,244.13

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Solution

The third proportional to 476,068,630.50 and 735,327,244.13 is: 1,135,773,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,068,630.50 : 735,327,244.13 = 735,327,244.13 : x
  2. Step 2: Convert to fraction form
    476,068,630.50/735,327,244.13 = 735,327,244.13/x
  3. Step 3: Cross multiply
    476,068,630.50x = 735,327,244.13 × 735,327,244.13
  4. Step 4: Simplify right side
    476,068,630.50x = 540,706,155,952,467,328
  5. Step 5: Solve for x
    x = 540,706,155,952,467,328/476,068,630.50
  6. Step 6: Final answer
    x = 1,135,773,544.63

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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.