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Finding the Third Proportional to 565,143,240,674 and 868,665,679,491

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Solution

The third proportional to 565,143,240,674 and 868,665,679,491 is: 1,335,201,429,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,143,240,674 : 868,665,679,491 = 868,665,679,491 : x
  2. Step 2: Convert to fraction form
    565,143,240,674/868,665,679,491 = 868,665,679,491/x
  3. Step 3: Cross multiply
    565,143,240,674x = 868,665,679,491 × 868,665,679,491
  4. Step 4: Simplify right side
    565,143,240,674x = 754,580,062,725,560,739,037,184
  5. Step 5: Solve for x
    x = 754,580,062,725,560,739,037,184/565,143,240,674
  6. Step 6: Final answer
    x = 1,335,201,429,332.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.