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Finding the Third Proportional to 194,852,974 and 424,007,920

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Solution

The third proportional to 194,852,974 and 424,007,920 is: 922,658,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852,974 : 424,007,920 = 424,007,920 : x
  2. Step 2: Convert to fraction form
    194,852,974/424,007,920 = 424,007,920/x
  3. Step 3: Cross multiply
    194,852,974x = 424,007,920 × 424,007,920
  4. Step 4: Simplify right side
    194,852,974x = 179,782,716,222,726,400
  5. Step 5: Solve for x
    x = 179,782,716,222,726,400/194,852,974
  6. Step 6: Final answer
    x = 922,658,312.74

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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.