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Finding the Third Proportional to 9,426,016 and 14,412,928

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Solution

The third proportional to 9,426,016 and 14,412,928 is: 22,038,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426,016 : 14,412,928 = 14,412,928 : x
  2. Step 2: Convert to fraction form
    9,426,016/14,412,928 = 14,412,928/x
  3. Step 3: Cross multiply
    9,426,016x = 14,412,928 × 14,412,928
  4. Step 4: Simplify right side
    9,426,016x = 207,732,493,533,184
  5. Step 5: Solve for x
    x = 207,732,493,533,184/9,426,016
  6. Step 6: Final answer
    x = 22,038,207.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.