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Finding the Third Proportional to 4,097,748,313,049 and 9,111,694,663,924

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Solution

The third proportional to 4,097,748,313,049 and 9,111,694,663,924 is: 20,260,634,208,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,748,313,049 : 9,111,694,663,924 = 9,111,694,663,924 : x
  2. Step 2: Convert to fraction form
    4,097,748,313,049/9,111,694,663,924 = 9,111,694,663,924/x
  3. Step 3: Cross multiply
    4,097,748,313,049x = 9,111,694,663,924 × 9,111,694,663,924
  4. Step 4: Simplify right side
    4,097,748,313,049x = 83,022,979,648,581,098,092,363,776
  5. Step 5: Solve for x
    x = 83,022,979,648,581,098,092,363,776/4,097,748,313,049
  6. Step 6: Final answer
    x = 20,260,634,208,352.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.