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Finding the Third Proportional to 2,361,813,778 and 5,074,127,084

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Solution

The third proportional to 2,361,813,778 and 5,074,127,084 is: 10,901,268,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,813,778 : 5,074,127,084 = 5,074,127,084 : x
  2. Step 2: Convert to fraction form
    2,361,813,778/5,074,127,084 = 5,074,127,084/x
  3. Step 3: Cross multiply
    2,361,813,778x = 5,074,127,084 × 5,074,127,084
  4. Step 4: Simplify right side
    2,361,813,778x = 25,746,765,664,582,344,704
  5. Step 5: Solve for x
    x = 25,746,765,664,582,344,704/2,361,813,778
  6. Step 6: Final answer
    x = 10,901,268,298.29

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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.