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Finding the Third Proportional to 2,379,031,770 and 5,153,385,012

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Solution

The third proportional to 2,379,031,770 and 5,153,385,012 is: 11,163,103,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379,031,770 : 5,153,385,012 = 5,153,385,012 : x
  2. Step 2: Convert to fraction form
    2,379,031,770/5,153,385,012 = 5,153,385,012/x
  3. Step 3: Cross multiply
    2,379,031,770x = 5,153,385,012 × 5,153,385,012
  4. Step 4: Simplify right side
    2,379,031,770x = 26,557,377,081,906,241,536
  5. Step 5: Solve for x
    x = 26,557,377,081,906,241,536/2,379,031,770
  6. Step 6: Final answer
    x = 11,163,103,165.25

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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.