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Finding the Third Proportional to 9,142,540 and 19,661,000

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Solution

The third proportional to 9,142,540 and 19,661,000 is: 42,280,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142,540 : 19,661,000 = 19,661,000 : x
  2. Step 2: Convert to fraction form
    9,142,540/19,661,000 = 19,661,000/x
  3. Step 3: Cross multiply
    9,142,540x = 19,661,000 × 19,661,000
  4. Step 4: Simplify right side
    9,142,540x = 386,554,921,000,000
  5. Step 5: Solve for x
    x = 386,554,921,000,000/9,142,540
  6. Step 6: Final answer
    x = 42,280,911.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.