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Finding the Third Proportional to 9,561,863,509.50 and 20,466,941,571

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Solution

The third proportional to 9,561,863,509.50 and 20,466,941,571 is: 43,809,001,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561,863,509.50 : 20,466,941,571 = 20,466,941,571 : x
  2. Step 2: Convert to fraction form
    9,561,863,509.50/20,466,941,571 = 20,466,941,571/x
  3. Step 3: Cross multiply
    9,561,863,509.50x = 20,466,941,571 × 20,466,941,571
  4. Step 4: Simplify right side
    9,561,863,509.50x = 418,895,697,270,727,966,720
  5. Step 5: Solve for x
    x = 418,895,697,270,727,966,720/9,561,863,509.50
  6. Step 6: Final answer
    x = 43,809,001,964.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.