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Finding the Third Proportional to 8,326,167,906 and 18,178,087,314

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Solution

The third proportional to 8,326,167,906 and 18,178,087,314 is: 39,687,268,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326,167,906 : 18,178,087,314 = 18,178,087,314 : x
  2. Step 2: Convert to fraction form
    8,326,167,906/18,178,087,314 = 18,178,087,314/x
  3. Step 3: Cross multiply
    8,326,167,906x = 18,178,087,314 × 18,178,087,314
  4. Step 4: Simplify right side
    8,326,167,906x = 330,442,858,395,407,745,024
  5. Step 5: Solve for x
    x = 330,442,858,395,407,745,024/8,326,167,906
  6. Step 6: Final answer
    x = 39,687,268,155.77

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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.