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Finding the Third Proportional to 381,746,340 and 583,713,066

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Solution

The third proportional to 381,746,340 and 583,713,066 is: 892,532,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,746,340 : 583,713,066 = 583,713,066 : x
  2. Step 2: Convert to fraction form
    381,746,340/583,713,066 = 583,713,066/x
  3. Step 3: Cross multiply
    381,746,340x = 583,713,066 × 583,713,066
  4. Step 4: Simplify right side
    381,746,340x = 340,720,943,419,120,384
  5. Step 5: Solve for x
    x = 340,720,943,419,120,384/381,746,340
  6. Step 6: Final answer
    x = 892,532,311.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.