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Finding the Third Proportional to 965,794,539.38 and 2,092,034,967.19

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Solution

The third proportional to 965,794,539.38 and 2,092,034,967.19 is: 4,531,616,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,794,539.38 : 2,092,034,967.19 = 2,092,034,967.19 : x
  2. Step 2: Convert to fraction form
    965,794,539.38/2,092,034,967.19 = 2,092,034,967.19/x
  3. Step 3: Cross multiply
    965,794,539.38x = 2,092,034,967.19 × 2,092,034,967.19
  4. Step 4: Simplify right side
    965,794,539.38x = 4,376,610,303,935,204,352
  5. Step 5: Solve for x
    x = 4,376,610,303,935,204,352/965,794,539.38
  6. Step 6: Final answer
    x = 4,531,616,327.80

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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.