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Finding the Third Proportional to 644,158,723,552 and 960,652,016,864

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Solution

The third proportional to 644,158,723,552 and 960,652,016,864 is: 1,432,647,364,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,158,723,552 : 960,652,016,864 = 960,652,016,864 : x
  2. Step 2: Convert to fraction form
    644,158,723,552/960,652,016,864 = 960,652,016,864/x
  3. Step 3: Cross multiply
    644,158,723,552x = 960,652,016,864 × 960,652,016,864
  4. Step 4: Simplify right side
    644,158,723,552x = 922,852,297,504,871,000,571,904
  5. Step 5: Solve for x
    x = 922,852,297,504,871,000,571,904/644,158,723,552
  6. Step 6: Final answer
    x = 1,432,647,364,326.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.