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Finding the Third Proportional to 747,317,449.90 and 1,605,539,214.70

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Solution

The third proportional to 747,317,449.90 and 1,605,539,214.70 is: 3,449,345,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,317,449.90 : 1,605,539,214.70 = 1,605,539,214.70 : x
  2. Step 2: Convert to fraction form
    747,317,449.90/1,605,539,214.70 = 1,605,539,214.70/x
  3. Step 3: Cross multiply
    747,317,449.90x = 1,605,539,214.70 × 1,605,539,214.70
  4. Step 4: Simplify right side
    747,317,449.90x = 2,577,756,169,949,768,704
  5. Step 5: Solve for x
    x = 2,577,756,169,949,768,704/747,317,449.90
  6. Step 6: Final answer
    x = 3,449,345,616.51

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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.