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Finding the Third Proportional to 3,110,167,858 and 6,854,286,967

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Solution

The third proportional to 3,110,167,858 and 6,854,286,967 is: 15,105,695,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,167,858 : 6,854,286,967 = 6,854,286,967 : x
  2. Step 2: Convert to fraction form
    3,110,167,858/6,854,286,967 = 6,854,286,967/x
  3. Step 3: Cross multiply
    3,110,167,858x = 6,854,286,967 × 6,854,286,967
  4. Step 4: Simplify right side
    3,110,167,858x = 46,981,249,825,986,060,288
  5. Step 5: Solve for x
    x = 46,981,249,825,986,060,288/3,110,167,858
  6. Step 6: Final answer
    x = 15,105,695,888.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.