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Finding the Third Proportional to 965,794,541 and 2,092,034,972

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Solution

The third proportional to 965,794,541 and 2,092,034,972 is: 4,531,616,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,794,541 : 2,092,034,972 = 2,092,034,972 : x
  2. Step 2: Convert to fraction form
    965,794,541/2,092,034,972 = 2,092,034,972/x
  3. Step 3: Cross multiply
    965,794,541x = 2,092,034,972 × 2,092,034,972
  4. Step 4: Simplify right side
    965,794,541x = 4,376,610,324,071,041,024
  5. Step 5: Solve for x
    x = 4,376,610,324,071,041,024/965,794,541
  6. Step 6: Final answer
    x = 4,531,616,341.03

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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.