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Finding the Third Proportional to 8,272,049 and 18,176,968

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Solution

The third proportional to 8,272,049 and 18,176,968 is: 39,941,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272,049 : 18,176,968 = 18,176,968 : x
  2. Step 2: Convert to fraction form
    8,272,049/18,176,968 = 18,176,968/x
  3. Step 3: Cross multiply
    8,272,049x = 18,176,968 × 18,176,968
  4. Step 4: Simplify right side
    8,272,049x = 330,402,165,673,024
  5. Step 5: Solve for x
    x = 330,402,165,673,024/8,272,049
  6. Step 6: Final answer
    x = 39,941,998.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.