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Finding the Third Proportional to 3,409,902 and 7,461,972

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Solution

The third proportional to 3,409,902 and 7,461,972 is: 16,329,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,902 : 7,461,972 = 7,461,972 : x
  2. Step 2: Convert to fraction form
    3,409,902/7,461,972 = 7,461,972/x
  3. Step 3: Cross multiply
    3,409,902x = 7,461,972 × 7,461,972
  4. Step 4: Simplify right side
    3,409,902x = 55,681,026,128,784
  5. Step 5: Solve for x
    x = 55,681,026,128,784/3,409,902
  6. Step 6: Final answer
    x = 16,329,215.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.