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Finding the Third Proportional to 3,110,167,824 and 6,854,286,918

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Solution

The third proportional to 3,110,167,824 and 6,854,286,918 is: 15,105,695,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,167,824 : 6,854,286,918 = 6,854,286,918 : x
  2. Step 2: Convert to fraction form
    3,110,167,824/6,854,286,918 = 6,854,286,918/x
  3. Step 3: Cross multiply
    3,110,167,824x = 6,854,286,918 × 6,854,286,918
  4. Step 4: Simplify right side
    3,110,167,824x = 46,981,249,154,265,939,968
  5. Step 5: Solve for x
    x = 46,981,249,154,265,939,968/3,110,167,824
  6. Step 6: Final answer
    x = 15,105,695,837.93

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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.