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Finding the Third Proportional to 965,790,712 and 2,092,027,112

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Solution

The third proportional to 965,790,712 and 2,092,027,112 is: 4,531,600,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,790,712 : 2,092,027,112 = 2,092,027,112 : x
  2. Step 2: Convert to fraction form
    965,790,712/2,092,027,112 = 2,092,027,112/x
  3. Step 3: Cross multiply
    965,790,712x = 2,092,027,112 × 2,092,027,112
  4. Step 4: Simplify right side
    965,790,712x = 4,376,577,437,343,060,480
  5. Step 5: Solve for x
    x = 4,376,577,437,343,060,480/965,790,712
  6. Step 6: Final answer
    x = 4,531,600,255.59

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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.