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Finding the Third Proportional to 1,497,381,765.75 and 3,231,520,497.75

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Solution

The third proportional to 1,497,381,765.75 and 3,231,520,497.75 is: 6,973,989,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,381,765.75 : 3,231,520,497.75 = 3,231,520,497.75 : x
  2. Step 2: Convert to fraction form
    1,497,381,765.75/3,231,520,497.75 = 3,231,520,497.75/x
  3. Step 3: Cross multiply
    1,497,381,765.75x = 3,231,520,497.75 × 3,231,520,497.75
  4. Step 4: Simplify right side
    1,497,381,765.75x = 10,442,724,727,378,407,424
  5. Step 5: Solve for x
    x = 10,442,724,727,378,407,424/1,497,381,765.75
  6. Step 6: Final answer
    x = 6,973,989,510.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.