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Finding the Third Proportional to 8,461,049.50 and 12,889,862.50

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Solution

The third proportional to 8,461,049.50 and 12,889,862.50 is: 19,636,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,049.50 : 12,889,862.50 = 12,889,862.50 : x
  2. Step 2: Convert to fraction form
    8,461,049.50/12,889,862.50 = 12,889,862.50/x
  3. Step 3: Cross multiply
    8,461,049.50x = 12,889,862.50 × 12,889,862.50
  4. Step 4: Simplify right side
    8,461,049.50x = 166,148,555,268,906.25
  5. Step 5: Solve for x
    x = 166,148,555,268,906.25/8,461,049.50
  6. Step 6: Final answer
    x = 19,636,873.09

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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.