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Finding the Third Proportional to 532,313,496 and 1,158,360,797.25

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Solution

The third proportional to 532,313,496 and 1,158,360,797.25 is: 2,520,694,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,313,496 : 1,158,360,797.25 = 1,158,360,797.25 : x
  2. Step 2: Convert to fraction form
    532,313,496/1,158,360,797.25 = 1,158,360,797.25/x
  3. Step 3: Cross multiply
    532,313,496x = 1,158,360,797.25 × 1,158,360,797.25
  4. Step 4: Simplify right side
    532,313,496x = 1,341,799,736,605,655,552
  5. Step 5: Solve for x
    x = 1,341,799,736,605,655,552/532,313,496
  6. Step 6: Final answer
    x = 2,520,694,565.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.