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Finding the Third Proportional to 37,870,593 and 82,827,066

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Solution

The third proportional to 37,870,593 and 82,827,066 is: 181,151,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870,593 : 82,827,066 = 82,827,066 : x
  2. Step 2: Convert to fraction form
    37,870,593/82,827,066 = 82,827,066/x
  3. Step 3: Cross multiply
    37,870,593x = 82,827,066 × 82,827,066
  4. Step 4: Simplify right side
    37,870,593x = 6,860,322,862,168,356
  5. Step 5: Solve for x
    x = 6,860,322,862,168,356/37,870,593
  6. Step 6: Final answer
    x = 181,151,714.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.