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Finding the Third Proportional to 40,227,202 and 86,828,005

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Solution

The third proportional to 40,227,202 and 86,828,005 is: 187,413,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,227,202 : 86,828,005 = 86,828,005 : x
  2. Step 2: Convert to fraction form
    40,227,202/86,828,005 = 86,828,005/x
  3. Step 3: Cross multiply
    40,227,202x = 86,828,005 × 86,828,005
  4. Step 4: Simplify right side
    40,227,202x = 7,539,102,452,280,025
  5. Step 5: Solve for x
    x = 7,539,102,452,280,025/40,227,202
  6. Step 6: Final answer
    x = 187,413,045.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.