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Finding the Third Proportional to 7,443,712 and 16,124,036

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Solution

The third proportional to 7,443,712 and 16,124,036 is: 34,926,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443,712 : 16,124,036 = 16,124,036 : x
  2. Step 2: Convert to fraction form
    7,443,712/16,124,036 = 16,124,036/x
  3. Step 3: Cross multiply
    7,443,712x = 16,124,036 × 16,124,036
  4. Step 4: Simplify right side
    7,443,712x = 259,984,536,929,296
  5. Step 5: Solve for x
    x = 259,984,536,929,296/7,443,712
  6. Step 6: Final answer
    x = 34,926,732.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.