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Finding the Third Proportional to 9,561,863,515.50 and 20,466,941,583

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Solution

The third proportional to 9,561,863,515.50 and 20,466,941,583 is: 43,809,001,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561,863,515.50 : 20,466,941,583 = 20,466,941,583 : x
  2. Step 2: Convert to fraction form
    9,561,863,515.50/20,466,941,583 = 20,466,941,583/x
  3. Step 3: Cross multiply
    9,561,863,515.50x = 20,466,941,583 × 20,466,941,583
  4. Step 4: Simplify right side
    9,561,863,515.50x = 418,895,697,761,934,573,568
  5. Step 5: Solve for x
    x = 418,895,697,761,934,573,568/9,561,863,515.50
  6. Step 6: Final answer
    x = 43,809,001,988.25

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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.