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Finding the Third Proportional to 12,286,176,992 and 19,784,791,632

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Solution

The third proportional to 12,286,176,992 and 19,784,791,632 is: 31,860,031,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286,176,992 : 19,784,791,632 = 19,784,791,632 : x
  2. Step 2: Convert to fraction form
    12,286,176,992/19,784,791,632 = 19,784,791,632/x
  3. Step 3: Cross multiply
    12,286,176,992x = 19,784,791,632 × 19,784,791,632
  4. Step 4: Simplify right side
    12,286,176,992x = 391,437,979,921,657,233,408
  5. Step 5: Solve for x
    x = 391,437,979,921,657,233,408/12,286,176,992
  6. Step 6: Final answer
    x = 31,860,031,006.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.