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Finding the Third Proportional to 752,070,808 and 1,649,424,215

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Solution

The third proportional to 752,070,808 and 1,649,424,215 is: 3,617,478,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,070,808 : 1,649,424,215 = 1,649,424,215 : x
  2. Step 2: Convert to fraction form
    752,070,808/1,649,424,215 = 1,649,424,215/x
  3. Step 3: Cross multiply
    752,070,808x = 1,649,424,215 × 1,649,424,215
  4. Step 4: Simplify right side
    752,070,808x = 2,720,600,241,028,366,336
  5. Step 5: Solve for x
    x = 2,720,600,241,028,366,336/752,070,808
  6. Step 6: Final answer
    x = 3,617,478,849.18

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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.