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Finding the Third Proportional to 2,361,813,780 and 5,074,127,088

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Solution

The third proportional to 2,361,813,780 and 5,074,127,088 is: 10,901,268,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,813,780 : 5,074,127,088 = 5,074,127,088 : x
  2. Step 2: Convert to fraction form
    2,361,813,780/5,074,127,088 = 5,074,127,088/x
  3. Step 3: Cross multiply
    2,361,813,780x = 5,074,127,088 × 5,074,127,088
  4. Step 4: Simplify right side
    2,361,813,780x = 25,746,765,705,175,359,488
  5. Step 5: Solve for x
    x = 25,746,765,705,175,359,488/2,361,813,780
  6. Step 6: Final answer
    x = 10,901,268,306.25

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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.