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Finding the Third Proportional to 5,092,449,508,913 and 11,106,578,784,745

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Solution

The third proportional to 5,092,449,508,913 and 11,106,578,784,745 is: 24,223,331,441,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092,449,508,913 : 11,106,578,784,745 = 11,106,578,784,745 : x
  2. Step 2: Convert to fraction form
    5,092,449,508,913/11,106,578,784,745 = 11,106,578,784,745/x
  3. Step 3: Cross multiply
    5,092,449,508,913x = 11,106,578,784,745 × 11,106,578,784,745
  4. Step 4: Simplify right side
    5,092,449,508,913x = 123,356,092,301,747,728,727,146,496
  5. Step 5: Solve for x
    x = 123,356,092,301,747,728,727,146,496/5,092,449,508,913
  6. Step 6: Final answer
    x = 24,223,331,441,155.22

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1.5x scale

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.