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Finding the Third Proportional to 37,637,796 and 81,648,456

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Solution

The third proportional to 37,637,796 and 81,648,456 is: 177,121,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,637,796 : 81,648,456 = 81,648,456 : x
  2. Step 2: Convert to fraction form
    37,637,796/81,648,456 = 81,648,456/x
  3. Step 3: Cross multiply
    37,637,796x = 81,648,456 × 81,648,456
  4. Step 4: Simplify right side
    37,637,796x = 6,666,470,367,183,936
  5. Step 5: Solve for x
    x = 6,666,470,367,183,936/37,637,796
  6. Step 6: Final answer
    x = 177,121,698.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.