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Finding the Third Proportional to 257,962,291,476.65 and 561,215,061,655.95

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Solution

The third proportional to 257,962,291,476.65 and 561,215,061,655.95 is: 1,220,962,736,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,962,291,476.65 : 561,215,061,655.95 = 561,215,061,655.95 : x
  2. Step 2: Convert to fraction form
    257,962,291,476.65/561,215,061,655.95 = 561,215,061,655.95/x
  3. Step 3: Cross multiply
    257,962,291,476.65x = 561,215,061,655.95 × 561,215,061,655.95
  4. Step 4: Simplify right side
    257,962,291,476.65x = 314,962,345,429,491,737,690,112
  5. Step 5: Solve for x
    x = 314,962,345,429,491,737,690,112/257,962,291,476.65
  6. Step 6: Final answer
    x = 1,220,962,736,943.28

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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.