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Finding the Third Proportional to 365,387,121 and 862,248,181

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Solution

The third proportional to 365,387,121 and 862,248,181 is: 2,034,751,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,387,121 : 862,248,181 = 862,248,181 : x
  2. Step 2: Convert to fraction form
    365,387,121/862,248,181 = 862,248,181/x
  3. Step 3: Cross multiply
    365,387,121x = 862,248,181 × 862,248,181
  4. Step 4: Simplify right side
    365,387,121x = 743,471,925,637,808,768
  5. Step 5: Solve for x
    x = 743,471,925,637,808,768/365,387,121
  6. Step 6: Final answer
    x = 2,034,751,316.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.