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Finding the Third Proportional to 41,507,873,118,616 and 89,262,538,411,956

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Solution

The third proportional to 41,507,873,118,616 and 89,262,538,411,956 is: 191,958,781,915,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507,873,118,616 : 89,262,538,411,956 = 89,262,538,411,956 : x
  2. Step 2: Convert to fraction form
    41,507,873,118,616/89,262,538,411,956 = 89,262,538,411,956/x
  3. Step 3: Cross multiply
    41,507,873,118,616x = 89,262,538,411,956 × 89,262,538,411,956
  4. Step 4: Simplify right side
    41,507,873,118,616x = 7,967,800,763,745,920,709,459,705,856
  5. Step 5: Solve for x
    x = 7,967,800,763,745,920,709,459,705,856/41,507,873,118,616
  6. Step 6: Final answer
    x = 191,958,781,915,337.78

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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.