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Finding the Third Proportional to 5,165,342,723.25 and 7,746,668,874

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Solution

The third proportional to 5,165,342,723.25 and 7,746,668,874 is: 11,617,985,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,342,723.25 : 7,746,668,874 = 7,746,668,874 : x
  2. Step 2: Convert to fraction form
    5,165,342,723.25/7,746,668,874 = 7,746,668,874/x
  3. Step 3: Cross multiply
    5,165,342,723.25x = 7,746,668,874 × 7,746,668,874
  4. Step 4: Simplify right side
    5,165,342,723.25x = 60,010,878,643,400,425,472
  5. Step 5: Solve for x
    x = 60,010,878,643,400,425,472/5,165,342,723.25
  6. Step 6: Final answer
    x = 11,617,985,845.02

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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.