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Finding the Third Proportional to 791,888,465 and 1,198,024,917.50

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Solution

The third proportional to 791,888,465 and 1,198,024,917.50 is: 1,812,456,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,888,465 : 1,198,024,917.50 = 1,198,024,917.50 : x
  2. Step 2: Convert to fraction form
    791,888,465/1,198,024,917.50 = 1,198,024,917.50/x
  3. Step 3: Cross multiply
    791,888,465x = 1,198,024,917.50 × 1,198,024,917.50
  4. Step 4: Simplify right side
    791,888,465x = 1,435,263,702,950,881,792
  5. Step 5: Solve for x
    x = 1,435,263,702,950,881,792/791,888,465
  6. Step 6: Final answer
    x = 1,812,456,888.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.