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Finding the Third Proportional to 41,507,873,118,624 and 89,262,538,411,976

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Solution

The third proportional to 41,507,873,118,624 and 89,262,538,411,976 is: 191,958,781,915,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507,873,118,624 : 89,262,538,411,976 = 89,262,538,411,976 : x
  2. Step 2: Convert to fraction form
    41,507,873,118,624/89,262,538,411,976 = 89,262,538,411,976/x
  3. Step 3: Cross multiply
    41,507,873,118,624x = 89,262,538,411,976 × 89,262,538,411,976
  4. Step 4: Simplify right side
    41,507,873,118,624x = 7,967,800,763,749,490,823,715,094,528
  5. Step 5: Solve for x
    x = 7,967,800,763,749,490,823,715,094,528/41,507,873,118,624
  6. Step 6: Final answer
    x = 191,958,781,915,386.81

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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.