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Finding the Third Proportional to 21,522,743,313 and 30,295,558,073.50

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Solution

The third proportional to 21,522,743,313 and 30,295,558,073.50 is: 42,644,231,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522,743,313 : 30,295,558,073.50 = 30,295,558,073.50 : x
  2. Step 2: Convert to fraction form
    21,522,743,313/30,295,558,073.50 = 30,295,558,073.50/x
  3. Step 3: Cross multiply
    21,522,743,313x = 30,295,558,073.50 × 30,295,558,073.50
  4. Step 4: Simplify right side
    21,522,743,313x = 917,820,838,984,811,020,288
  5. Step 5: Solve for x
    x = 917,820,838,984,811,020,288/21,522,743,313
  6. Step 6: Final answer
    x = 42,644,231,064.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.