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Finding the Third Proportional to 568,641,966 and 873,655,533

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Solution

The third proportional to 568,641,966 and 873,655,533 is: 1,342,275,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,641,966 : 873,655,533 = 873,655,533 : x
  2. Step 2: Convert to fraction form
    568,641,966/873,655,533 = 873,655,533/x
  3. Step 3: Cross multiply
    568,641,966x = 873,655,533 × 873,655,533
  4. Step 4: Simplify right side
    568,641,966x = 763,273,990,341,514,112
  5. Step 5: Solve for x
    x = 763,273,990,341,514,112/568,641,966
  6. Step 6: Final answer
    x = 1,342,275,167.82

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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.