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Finding the Third Proportional to 407,644,114,964.62 and 886,858,369,111.12

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Solution

The third proportional to 407,644,114,964.62 and 886,858,369,111.12 is: 1,929,422,596,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644,114,964.62 : 886,858,369,111.12 = 886,858,369,111.12 : x
  2. Step 2: Convert to fraction form
    407,644,114,964.62/886,858,369,111.12 = 886,858,369,111.12/x
  3. Step 3: Cross multiply
    407,644,114,964.62x = 886,858,369,111.12 × 886,858,369,111.12
  4. Step 4: Simplify right side
    407,644,114,964.62x = 786,517,766,862,435,503,833,088
  5. Step 5: Solve for x
    x = 786,517,766,862,435,503,833,088/407,644,114,964.62
  6. Step 6: Final answer
    x = 1,929,422,596,793.03

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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.