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Finding the Third Proportional to 787,162,785.75 and 1,822,331,489.63

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Solution

The third proportional to 787,162,785.75 and 1,822,331,489.63 is: 4,218,812,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,162,785.75 : 1,822,331,489.63 = 1,822,331,489.63 : x
  2. Step 2: Convert to fraction form
    787,162,785.75/1,822,331,489.63 = 1,822,331,489.63/x
  3. Step 3: Cross multiply
    787,162,785.75x = 1,822,331,489.63 × 1,822,331,489.63
  4. Step 4: Simplify right side
    787,162,785.75x = 3,320,892,058,078,871,552
  5. Step 5: Solve for x
    x = 3,320,892,058,078,871,552/787,162,785.75
  6. Step 6: Final answer
    x = 4,218,812,319.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.