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Finding the Third Proportional to 747,721,526.63 and 1,627,107,550.88

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Solution

The third proportional to 747,721,526.63 and 1,627,107,550.88 is: 3,540,728,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,721,526.63 : 1,627,107,550.88 = 1,627,107,550.88 : x
  2. Step 2: Convert to fraction form
    747,721,526.63/1,627,107,550.88 = 1,627,107,550.88/x
  3. Step 3: Cross multiply
    747,721,526.63x = 1,627,107,550.88 × 1,627,107,550.88
  4. Step 4: Simplify right side
    747,721,526.63x = 2,647,478,982,114,440,704
  5. Step 5: Solve for x
    x = 2,647,478,982,114,440,704/747,721,526.63
  6. Step 6: Final answer
    x = 3,540,728,583.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.