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Finding the Third Proportional to 30,206,945,930 and 47,385,784,029

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Solution

The third proportional to 30,206,945,930 and 47,385,784,029 is: 74,334,311,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206,945,930 : 47,385,784,029 = 47,385,784,029 : x
  2. Step 2: Convert to fraction form
    30,206,945,930/47,385,784,029 = 47,385,784,029/x
  3. Step 3: Cross multiply
    30,206,945,930x = 47,385,784,029 × 47,385,784,029
  4. Step 4: Simplify right side
    30,206,945,930x = 2,245,412,528,043,031,527,424
  5. Step 5: Solve for x
    x = 2,245,412,528,043,031,527,424/30,206,945,930
  6. Step 6: Final answer
    x = 74,334,311,494.00

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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.