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Finding the Third Proportional to 6,499,680 and 14,084,108

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Solution

The third proportional to 6,499,680 and 14,084,108 is: 30,518,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,680 : 14,084,108 = 14,084,108 : x
  2. Step 2: Convert to fraction form
    6,499,680/14,084,108 = 14,084,108/x
  3. Step 3: Cross multiply
    6,499,680x = 14,084,108 × 14,084,108
  4. Step 4: Simplify right side
    6,499,680x = 198,362,098,155,664
  5. Step 5: Solve for x
    x = 198,362,098,155,664/6,499,680
  6. Step 6: Final answer
    x = 30,518,748.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.