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Finding the Third Proportional to 16,839,802 and 23,462,031

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Solution

The third proportional to 16,839,802 and 23,462,031 is: 32,688,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839,802 : 23,462,031 = 23,462,031 : x
  2. Step 2: Convert to fraction form
    16,839,802/23,462,031 = 23,462,031/x
  3. Step 3: Cross multiply
    16,839,802x = 23,462,031 × 23,462,031
  4. Step 4: Simplify right side
    16,839,802x = 550,466,898,644,961
  5. Step 5: Solve for x
    x = 550,466,898,644,961/16,839,802
  6. Step 6: Final answer
    x = 32,688,442.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.