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Finding the Third Proportional to 10,565,614,344 and 23,029,667,980.13

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Solution

The third proportional to 10,565,614,344 and 23,029,667,980.13 is: 50,197,327,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565,614,344 : 23,029,667,980.13 = 23,029,667,980.13 : x
  2. Step 2: Convert to fraction form
    10,565,614,344/23,029,667,980.13 = 23,029,667,980.13/x
  3. Step 3: Cross multiply
    10,565,614,344x = 23,029,667,980.13 × 23,029,667,980.13
  4. Step 4: Simplify right side
    10,565,614,344x = 530,365,607,274,794,713,088
  5. Step 5: Solve for x
    x = 530,365,607,274,794,713,088/10,565,614,344
  6. Step 6: Final answer
    x = 50,197,327,860.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.