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Finding the Third Proportional to 2,023,516,584 and 4,512,304,941

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Solution

The third proportional to 2,023,516,584 and 4,512,304,941 is: 10,062,134,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,516,584 : 4,512,304,941 = 4,512,304,941 : x
  2. Step 2: Convert to fraction form
    2,023,516,584/4,512,304,941 = 4,512,304,941/x
  3. Step 3: Cross multiply
    2,023,516,584x = 4,512,304,941 × 4,512,304,941
  4. Step 4: Simplify right side
    2,023,516,584x = 20,360,895,880,573,014,016
  5. Step 5: Solve for x
    x = 20,360,895,880,573,014,016/2,023,516,584
  6. Step 6: Final answer
    x = 10,062,134,425.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.