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Finding the Third Proportional to 6,148,629 and 9,189,072

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Solution

The third proportional to 6,148,629 and 9,189,072 is: 13,732,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,629 : 9,189,072 = 9,189,072 : x
  2. Step 2: Convert to fraction form
    6,148,629/9,189,072 = 9,189,072/x
  3. Step 3: Cross multiply
    6,148,629x = 9,189,072 × 9,189,072
  4. Step 4: Simplify right side
    6,148,629x = 84,439,044,221,184
  5. Step 5: Solve for x
    x = 84,439,044,221,184/6,148,629
  6. Step 6: Final answer
    x = 13,732,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.