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Finding the Third Proportional to 2,488,127,662 and 5,345,505,746

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Solution

The third proportional to 2,488,127,662 and 5,345,505,746 is: 11,484,310,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,127,662 : 5,345,505,746 = 5,345,505,746 : x
  2. Step 2: Convert to fraction form
    2,488,127,662/5,345,505,746 = 5,345,505,746/x
  3. Step 3: Cross multiply
    2,488,127,662x = 5,345,505,746 × 5,345,505,746
  4. Step 4: Simplify right side
    2,488,127,662x = 28,574,431,680,519,016,448
  5. Step 5: Solve for x
    x = 28,574,431,680,519,016,448/2,488,127,662
  6. Step 6: Final answer
    x = 11,484,310,920.59

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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.