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Finding the Third Proportional to 12,477,142,307 and 27,743,995,567

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Solution

The third proportional to 12,477,142,307 and 27,743,995,567 is: 61,691,152,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477,142,307 : 27,743,995,567 = 27,743,995,567 : x
  2. Step 2: Convert to fraction form
    12,477,142,307/27,743,995,567 = 27,743,995,567/x
  3. Step 3: Cross multiply
    12,477,142,307x = 27,743,995,567 × 27,743,995,567
  4. Step 4: Simplify right side
    12,477,142,307x = 769,729,290,021,715,705,856
  5. Step 5: Solve for x
    x = 769,729,290,021,715,705,856/12,477,142,307
  6. Step 6: Final answer
    x = 61,691,152,595.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.