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Finding the Third Proportional to 644,158,722,480 and 960,652,012,680

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Solution

The third proportional to 644,158,722,480 and 960,652,012,680 is: 1,432,647,354,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,158,722,480 : 960,652,012,680 = 960,652,012,680 : x
  2. Step 2: Convert to fraction form
    644,158,722,480/960,652,012,680 = 960,652,012,680/x
  3. Step 3: Cross multiply
    644,158,722,480x = 960,652,012,680 × 960,652,012,680
  4. Step 4: Simplify right side
    644,158,722,480x = 922,852,289,466,134,928,818,176
  5. Step 5: Solve for x
    x = 922,852,289,466,134,928,818,176/644,158,722,480
  6. Step 6: Final answer
    x = 1,432,647,354,231.53

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