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Finding the Third Proportional to 10,864,002 and 23,897,412

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Solution

The third proportional to 10,864,002 and 23,897,412 is: 52,566,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864,002 : 23,897,412 = 23,897,412 : x
  2. Step 2: Convert to fraction form
    10,864,002/23,897,412 = 23,897,412/x
  3. Step 3: Cross multiply
    10,864,002x = 23,897,412 × 23,897,412
  4. Step 4: Simplify right side
    10,864,002x = 571,086,300,297,744
  5. Step 5: Solve for x
    x = 571,086,300,297,744/10,864,002
  6. Step 6: Final answer
    x = 52,566,844.18

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