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Finding the Third Proportional to 9,654,060 and 14,314,108

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Solution

The third proportional to 9,654,060 and 14,314,108 is: 21,223,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,060 : 14,314,108 = 14,314,108 : x
  2. Step 2: Convert to fraction form
    9,654,060/14,314,108 = 14,314,108/x
  3. Step 3: Cross multiply
    9,654,060x = 14,314,108 × 14,314,108
  4. Step 4: Simplify right side
    9,654,060x = 204,893,687,835,664
  5. Step 5: Solve for x
    x = 204,893,687,835,664/9,654,060
  6. Step 6: Final answer
    x = 21,223,577.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.