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Finding the Third Proportional to 2,361,813,766 and 5,074,127,060

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Solution

The third proportional to 2,361,813,766 and 5,074,127,060 is: 10,901,268,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,813,766 : 5,074,127,060 = 5,074,127,060 : x
  2. Step 2: Convert to fraction form
    2,361,813,766/5,074,127,060 = 5,074,127,060/x
  3. Step 3: Cross multiply
    2,361,813,766x = 5,074,127,060 × 5,074,127,060
  4. Step 4: Simplify right side
    2,361,813,766x = 25,746,765,421,024,243,712
  5. Step 5: Solve for x
    x = 25,746,765,421,024,243,712/2,361,813,766
  6. Step 6: Final answer
    x = 10,901,268,250.56

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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.