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Finding the Third Proportional to 8,461,510 and 12,890,661

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Solution

The third proportional to 8,461,510 and 12,890,661 is: 19,638,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,510 : 12,890,661 = 12,890,661 : x
  2. Step 2: Convert to fraction form
    8,461,510/12,890,661 = 12,890,661/x
  3. Step 3: Cross multiply
    8,461,510x = 12,890,661 × 12,890,661
  4. Step 4: Simplify right side
    8,461,510x = 166,169,141,016,921
  5. Step 5: Solve for x
    x = 166,169,141,016,921/8,461,510
  6. Step 6: Final answer
    x = 19,638,237.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.