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Finding the Third Proportional to 8,823,120 and 19,386,000

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Solution

The third proportional to 8,823,120 and 19,386,000 is: 42,594,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823,120 : 19,386,000 = 19,386,000 : x
  2. Step 2: Convert to fraction form
    8,823,120/19,386,000 = 19,386,000/x
  3. Step 3: Cross multiply
    8,823,120x = 19,386,000 × 19,386,000
  4. Step 4: Simplify right side
    8,823,120x = 375,816,996,000,000
  5. Step 5: Solve for x
    x = 375,816,996,000,000/8,823,120
  6. Step 6: Final answer
    x = 42,594,569.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.