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Finding the Third Proportional to 3,103,309,704 and 4,650,425,042

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Solution

The third proportional to 3,103,309,704 and 4,650,425,042 is: 6,968,834,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103,309,704 : 4,650,425,042 = 4,650,425,042 : x
  2. Step 2: Convert to fraction form
    3,103,309,704/4,650,425,042 = 4,650,425,042/x
  3. Step 3: Cross multiply
    3,103,309,704x = 4,650,425,042 × 4,650,425,042
  4. Step 4: Simplify right side
    3,103,309,704x = 21,626,453,071,260,700,672
  5. Step 5: Solve for x
    x = 21,626,453,071,260,700,672/3,103,309,704
  6. Step 6: Final answer
    x = 6,968,834,932.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.