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Finding the Third Proportional to 407,644,114,951.12 and 886,858,369,084.12

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Solution

The third proportional to 407,644,114,951.12 and 886,858,369,084.12 is: 1,929,422,596,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644,114,951.12 : 886,858,369,084.12 = 886,858,369,084.12 : x
  2. Step 2: Convert to fraction form
    407,644,114,951.12/886,858,369,084.12 = 886,858,369,084.12/x
  3. Step 3: Cross multiply
    407,644,114,951.12x = 886,858,369,084.12 × 886,858,369,084.12
  4. Step 4: Simplify right side
    407,644,114,951.12x = 786,517,766,814,545,142,087,680
  5. Step 5: Solve for x
    x = 786,517,766,814,545,142,087,680/407,644,114,951.12
  6. Step 6: Final answer
    x = 1,929,422,596,739.45

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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.