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Finding the Third Proportional to 787,101,449.06 and 1,722,475,558.13

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Solution

The third proportional to 787,101,449.06 and 1,722,475,558.13 is: 3,769,427,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,101,449.06 : 1,722,475,558.13 = 1,722,475,558.13 : x
  2. Step 2: Convert to fraction form
    787,101,449.06/1,722,475,558.13 = 1,722,475,558.13/x
  3. Step 3: Cross multiply
    787,101,449.06x = 1,722,475,558.13 × 1,722,475,558.13
  4. Step 4: Simplify right side
    787,101,449.06x = 2,966,922,048,338,030,080
  5. Step 5: Solve for x
    x = 2,966,922,048,338,030,080/787,101,449.06
  6. Step 6: Final answer
    x = 3,769,427,755.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.