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Finding the Third Proportional to 322,407,301.50 and 699,553,021.50

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Solution

The third proportional to 322,407,301.50 and 699,553,021.50 is: 1,517,876,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407,301.50 : 699,553,021.50 = 699,553,021.50 : x
  2. Step 2: Convert to fraction form
    322,407,301.50/699,553,021.50 = 699,553,021.50/x
  3. Step 3: Cross multiply
    322,407,301.50x = 699,553,021.50 × 699,553,021.50
  4. Step 4: Simplify right side
    322,407,301.50x = 489,374,429,889,779,456
  5. Step 5: Solve for x
    x = 489,374,429,889,779,456/322,407,301.50
  6. Step 6: Final answer
    x = 1,517,876,386.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.