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Finding the Third Proportional to 3,031,691,798 and 6,597,226,930

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Solution

The third proportional to 3,031,691,798 and 6,597,226,930 is: 14,356,143,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,691,798 : 6,597,226,930 = 6,597,226,930 : x
  2. Step 2: Convert to fraction form
    3,031,691,798/6,597,226,930 = 6,597,226,930/x
  3. Step 3: Cross multiply
    3,031,691,798x = 6,597,226,930 × 6,597,226,930
  4. Step 4: Simplify right side
    3,031,691,798x = 43,523,403,165,917,224,960
  5. Step 5: Solve for x
    x = 43,523,403,165,917,224,960/3,031,691,798
  6. Step 6: Final answer
    x = 14,356,143,719.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.