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Finding the Third Proportional to 7,812,288 and 12,072,384

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Solution

The third proportional to 7,812,288 and 12,072,384 is: 18,655,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,288 : 12,072,384 = 12,072,384 : x
  2. Step 2: Convert to fraction form
    7,812,288/12,072,384 = 12,072,384/x
  3. Step 3: Cross multiply
    7,812,288x = 12,072,384 × 12,072,384
  4. Step 4: Simplify right side
    7,812,288x = 145,742,455,443,456
  5. Step 5: Solve for x
    x = 145,742,455,443,456/7,812,288
  6. Step 6: Final answer
    x = 18,655,540.53

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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.