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Finding the Third Proportional to 965,789,656 and 2,092,024,769

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Solution

The third proportional to 965,789,656 and 2,092,024,769 is: 4,531,595,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,789,656 : 2,092,024,769 = 2,092,024,769 : x
  2. Step 2: Convert to fraction form
    965,789,656/2,092,024,769 = 2,092,024,769/x
  3. Step 3: Cross multiply
    965,789,656x = 2,092,024,769 × 2,092,024,769
  4. Step 4: Simplify right side
    965,789,656x = 4,376,567,634,109,503,488
  5. Step 5: Solve for x
    x = 4,376,567,634,109,503,488/965,789,656
  6. Step 6: Final answer
    x = 4,531,595,059.98

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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.