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Finding the Third Proportional to 8,461,508 and 12,890,658

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Solution

The third proportional to 8,461,508 and 12,890,658 is: 19,638,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,508 : 12,890,658 = 12,890,658 : x
  2. Step 2: Convert to fraction form
    8,461,508/12,890,658 = 12,890,658/x
  3. Step 3: Cross multiply
    8,461,508x = 12,890,658 × 12,890,658
  4. Step 4: Simplify right side
    8,461,508x = 166,169,063,672,964
  5. Step 5: Solve for x
    x = 166,169,063,672,964/8,461,508
  6. Step 6: Final answer
    x = 19,638,232.77

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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.