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Finding the Third Proportional to 965,780,521.31 and 2,092,005,580.22

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Solution

The third proportional to 965,780,521.31 and 2,092,005,580.22 is: 4,531,554,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,780,521.31 : 2,092,005,580.22 = 2,092,005,580.22 : x
  2. Step 2: Convert to fraction form
    965,780,521.31/2,092,005,580.22 = 2,092,005,580.22/x
  3. Step 3: Cross multiply
    965,780,521.31x = 2,092,005,580.22 × 2,092,005,580.22
  4. Step 4: Simplify right side
    965,780,521.31x = 4,376,487,347,666,598,400
  5. Step 5: Solve for x
    x = 4,376,487,347,666,598,400/965,780,521.31
  6. Step 6: Final answer
    x = 4,531,554,790.23

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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.