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Finding the Third Proportional to 9,146,497 and 13,467,053

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Solution

The third proportional to 9,146,497 and 13,467,053 is: 19,828,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146,497 : 13,467,053 = 13,467,053 : x
  2. Step 2: Convert to fraction form
    9,146,497/13,467,053 = 13,467,053/x
  3. Step 3: Cross multiply
    9,146,497x = 13,467,053 × 13,467,053
  4. Step 4: Simplify right side
    9,146,497x = 181,361,516,504,809
  5. Step 5: Solve for x
    x = 181,361,516,504,809/9,146,497
  6. Step 6: Final answer
    x = 19,828,521.95

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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.