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Finding the Third Proportional to 8,013,014.23 and 12,415,359.80

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Solution

The third proportional to 8,013,014.23 and 12,415,359.80 is: 19,236,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013,014.23 : 12,415,359.80 = 12,415,359.80 : x
  2. Step 2: Convert to fraction form
    8,013,014.23/12,415,359.80 = 12,415,359.80/x
  3. Step 3: Cross multiply
    8,013,014.23x = 12,415,359.80 × 12,415,359.80
  4. Step 4: Simplify right side
    8,013,014.23x = 154,141,158,885,860.03
  5. Step 5: Solve for x
    x = 154,141,158,885,860.03/8,013,014.23
  6. Step 6: Final answer
    x = 19,236,351.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.