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Finding the Third Proportional to 4,253,251,627,328 and 9,151,587,402,816

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Solution

The third proportional to 4,253,251,627,328 and 9,151,587,402,816 is: 19,691,182,024,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,251,627,328 : 9,151,587,402,816 = 9,151,587,402,816 : x
  2. Step 2: Convert to fraction form
    4,253,251,627,328/9,151,587,402,816 = 9,151,587,402,816/x
  3. Step 3: Cross multiply
    4,253,251,627,328x = 9,151,587,402,816 × 9,151,587,402,816
  4. Step 4: Simplify right side
    4,253,251,627,328x = 83,751,551,991,380,497,880,055,808
  5. Step 5: Solve for x
    x = 83,751,551,991,380,497,880,055,808/4,253,251,627,328
  6. Step 6: Final answer
    x = 19,691,182,024,891.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.