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Finding the Third Proportional to 8,886,105,700.31 and 18,507,709,144.69

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Solution

The third proportional to 8,886,105,700.31 and 18,507,709,144.69 is: 38,547,290,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886,105,700.31 : 18,507,709,144.69 = 18,507,709,144.69 : x
  2. Step 2: Convert to fraction form
    8,886,105,700.31/18,507,709,144.69 = 18,507,709,144.69/x
  3. Step 3: Cross multiply
    8,886,105,700.31x = 18,507,709,144.69 × 18,507,709,144.69
  4. Step 4: Simplify right side
    8,886,105,700.31x = 342,535,297,784,367,808,512
  5. Step 5: Solve for x
    x = 342,535,297,784,367,808,512/8,886,105,700.31
  6. Step 6: Final answer
    x = 38,547,290,493.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.