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Finding the Third Proportional to 37,910,983,842 and 83,404,031,851

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Solution

The third proportional to 37,910,983,842 and 83,404,031,851 is: 183,488,578,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,910,983,842 : 83,404,031,851 = 83,404,031,851 : x
  2. Step 2: Convert to fraction form
    37,910,983,842/83,404,031,851 = 83,404,031,851/x
  3. Step 3: Cross multiply
    37,910,983,842x = 83,404,031,851 × 83,404,031,851
  4. Step 4: Simplify right side
    37,910,983,842x = 6,956,232,529,002,622,877,696
  5. Step 5: Solve for x
    x = 6,956,232,529,002,622,877,696/37,910,983,842
  6. Step 6: Final answer
    x = 183,488,578,349.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.