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Finding the Third Proportional to 3,387,613,888 and 7,338,023,786

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Solution

The third proportional to 3,387,613,888 and 7,338,023,786 is: 15,895,138,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387,613,888 : 7,338,023,786 = 7,338,023,786 : x
  2. Step 2: Convert to fraction form
    3,387,613,888/7,338,023,786 = 7,338,023,786/x
  3. Step 3: Cross multiply
    3,387,613,888x = 7,338,023,786 × 7,338,023,786
  4. Step 4: Simplify right side
    3,387,613,888x = 53,846,593,083,901,771,776
  5. Step 5: Solve for x
    x = 53,846,593,083,901,771,776/3,387,613,888
  6. Step 6: Final answer
    x = 15,895,138,839.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.