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Finding the Third Proportional to 14,798,248,501.50 and 34,530,439,747.50

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Solution

The third proportional to 14,798,248,501.50 and 34,530,439,747.50 is: 80,573,810,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798,248,501.50 : 34,530,439,747.50 = 34,530,439,747.50 : x
  2. Step 2: Convert to fraction form
    14,798,248,501.50/34,530,439,747.50 = 34,530,439,747.50/x
  3. Step 3: Cross multiply
    14,798,248,501.50x = 34,530,439,747.50 × 34,530,439,747.50
  4. Step 4: Simplify right side
    14,798,248,501.50x = 1,192,351,269,155,727,736,832
  5. Step 5: Solve for x
    x = 1,192,351,269,155,727,736,832/14,798,248,501.50
  6. Step 6: Final answer
    x = 80,573,810,409.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.