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Finding the Third Proportional to 774,649,806.19 and 1,680,820,156.13

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Solution

The third proportional to 774,649,806.19 and 1,680,820,156.13 is: 3,647,011,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,649,806.19 : 1,680,820,156.13 = 1,680,820,156.13 : x
  2. Step 2: Convert to fraction form
    774,649,806.19/1,680,820,156.13 = 1,680,820,156.13/x
  3. Step 3: Cross multiply
    774,649,806.19x = 1,680,820,156.13 × 1,680,820,156.13
  4. Step 4: Simplify right side
    774,649,806.19x = 2,825,156,397,236,069,376
  5. Step 5: Solve for x
    x = 2,825,156,397,236,069,376/774,649,806.19
  6. Step 6: Final answer
    x = 3,647,011,042.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.