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Finding the Third Proportional to 231,854,520 and 500,028,672

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Solution

The third proportional to 231,854,520 and 500,028,672 is: 1,078,386,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,520 : 500,028,672 = 500,028,672 : x
  2. Step 2: Convert to fraction form
    231,854,520/500,028,672 = 500,028,672/x
  3. Step 3: Cross multiply
    231,854,520x = 500,028,672 × 500,028,672
  4. Step 4: Simplify right side
    231,854,520x = 250,028,672,822,083,584
  5. Step 5: Solve for x
    x = 250,028,672,822,083,584/231,854,520
  6. Step 6: Final answer
    x = 1,078,386,019.05

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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.