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Finding the Third Proportional to 6,148,102 and 9,022,658

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Solution

The third proportional to 6,148,102 and 9,022,658 is: 13,241,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,102 : 9,022,658 = 9,022,658 : x
  2. Step 2: Convert to fraction form
    6,148,102/9,022,658 = 9,022,658/x
  3. Step 3: Cross multiply
    6,148,102x = 9,022,658 × 9,022,658
  4. Step 4: Simplify right side
    6,148,102x = 81,408,357,384,964
  5. Step 5: Solve for x
    x = 81,408,357,384,964/6,148,102
  6. Step 6: Final answer
    x = 13,241,217.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.