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Finding the Third Proportional to 8,461,629 and 12,890,792.25

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Solution

The third proportional to 8,461,629 and 12,890,792.25 is: 19,638,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,629 : 12,890,792.25 = 12,890,792.25 : x
  2. Step 2: Convert to fraction form
    8,461,629/12,890,792.25 = 12,890,792.25/x
  3. Step 3: Cross multiply
    8,461,629x = 12,890,792.25 × 12,890,792.25
  4. Step 4: Simplify right side
    8,461,629x = 166,172,524,832,660.06
  5. Step 5: Solve for x
    x = 166,172,524,832,660.06/8,461,629
  6. Step 6: Final answer
    x = 19,638,360.99

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Why These Related Problems?

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