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Finding the Third Proportional to 40,803,561 and 86,212,651

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Solution

The third proportional to 40,803,561 and 86,212,651 is: 182,156,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803,561 : 86,212,651 = 86,212,651 : x
  2. Step 2: Convert to fraction form
    40,803,561/86,212,651 = 86,212,651/x
  3. Step 3: Cross multiply
    40,803,561x = 86,212,651 × 86,212,651
  4. Step 4: Simplify right side
    40,803,561x = 7,432,621,192,447,801
  5. Step 5: Solve for x
    x = 7,432,621,192,447,801/40,803,561
  6. Step 6: Final answer
    x = 182,156,189.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.