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Finding the Third Proportional to 6,371,777,625 and 9,995,438,925

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Solution

The third proportional to 6,371,777,625 and 9,995,438,925 is: 15,679,894,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,777,625 : 9,995,438,925 = 9,995,438,925 : x
  2. Step 2: Convert to fraction form
    6,371,777,625/9,995,438,925 = 9,995,438,925/x
  3. Step 3: Cross multiply
    6,371,777,625x = 9,995,438,925 × 9,995,438,925
  4. Step 4: Simplify right side
    6,371,777,625x = 99,908,799,303,405,158,400
  5. Step 5: Solve for x
    x = 99,908,799,303,405,158,400/6,371,777,625
  6. Step 6: Final answer
    x = 15,679,894,243.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.