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Finding the Third Proportional to 37,958,731,699 and 81,630,121,996

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Solution

The third proportional to 37,958,731,699 and 81,630,121,996 is: 175,545,296,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,699 : 81,630,121,996 = 81,630,121,996 : x
  2. Step 2: Convert to fraction form
    37,958,731,699/81,630,121,996 = 81,630,121,996/x
  3. Step 3: Cross multiply
    37,958,731,699x = 81,630,121,996 × 81,630,121,996
  4. Step 4: Simplify right side
    37,958,731,699x = 6,663,476,817,081,842,794,496
  5. Step 5: Solve for x
    x = 6,663,476,817,081,842,794,496/37,958,731,699
  6. Step 6: Final answer
    x = 175,545,296,663.78

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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.