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Finding the Third Proportional to 752,221,248 and 1,580,585,088

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Solution

The third proportional to 752,221,248 and 1,580,585,088 is: 3,321,162,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,221,248 : 1,580,585,088 = 1,580,585,088 : x
  2. Step 2: Convert to fraction form
    752,221,248/1,580,585,088 = 1,580,585,088/x
  3. Step 3: Cross multiply
    752,221,248x = 1,580,585,088 × 1,580,585,088
  4. Step 4: Simplify right side
    752,221,248x = 2,498,249,220,407,967,744
  5. Step 5: Solve for x
    x = 2,498,249,220,407,967,744/752,221,248
  6. Step 6: Final answer
    x = 3,321,162,792.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.