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Finding the Third Proportional to 253,046,454 and 552,491,724

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Solution

The third proportional to 253,046,454 and 552,491,724 is: 1,206,288,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,046,454 : 552,491,724 = 552,491,724 : x
  2. Step 2: Convert to fraction form
    253,046,454/552,491,724 = 552,491,724/x
  3. Step 3: Cross multiply
    253,046,454x = 552,491,724 × 552,491,724
  4. Step 4: Simplify right side
    253,046,454x = 305,247,105,088,492,160
  5. Step 5: Solve for x
    x = 305,247,105,088,492,160/253,046,454
  6. Step 6: Final answer
    x = 1,206,288,806.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.