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Finding the Third Proportional to 10,810,416 and 23,489,952

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Solution

The third proportional to 10,810,416 and 23,489,952 is: 51,041,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810,416 : 23,489,952 = 23,489,952 : x
  2. Step 2: Convert to fraction form
    10,810,416/23,489,952 = 23,489,952/x
  3. Step 3: Cross multiply
    10,810,416x = 23,489,952 × 23,489,952
  4. Step 4: Simplify right side
    10,810,416x = 551,777,844,962,304
  5. Step 5: Solve for x
    x = 551,777,844,962,304/10,810,416
  6. Step 6: Final answer
    x = 51,041,314.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.