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Finding the Third Proportional to 231,854,464 and 500,028,574

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Solution

The third proportional to 231,854,464 and 500,028,574 is: 1,078,385,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,464 : 500,028,574 = 500,028,574 : x
  2. Step 2: Convert to fraction form
    231,854,464/500,028,574 = 500,028,574/x
  3. Step 3: Cross multiply
    231,854,464x = 500,028,574 × 500,028,574
  4. Step 4: Simplify right side
    231,854,464x = 250,028,574,816,473,472
  5. Step 5: Solve for x
    x = 250,028,574,816,473,472/231,854,464
  6. Step 6: Final answer
    x = 1,078,385,856.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.