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Finding the Third Proportional to 12,440,671,728 and 27,417,148,632

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Solution

The third proportional to 12,440,671,728 and 27,417,148,632 is: 60,422,785,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,671,728 : 27,417,148,632 = 27,417,148,632 : x
  2. Step 2: Convert to fraction form
    12,440,671,728/27,417,148,632 = 27,417,148,632/x
  3. Step 3: Cross multiply
    12,440,671,728x = 27,417,148,632 × 27,417,148,632
  4. Step 4: Simplify right side
    12,440,671,728x = 751,700,039,109,179,473,920
  5. Step 5: Solve for x
    x = 751,700,039,109,179,473,920/12,440,671,728
  6. Step 6: Final answer
    x = 60,422,785,484.91

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Why These Related Problems?

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