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Finding the Third Proportional to 2,509,472,440 and 3,754,259,068

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Solution

The third proportional to 2,509,472,440 and 3,754,259,068 is: 5,616,503,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,472,440 : 3,754,259,068 = 3,754,259,068 : x
  2. Step 2: Convert to fraction form
    2,509,472,440/3,754,259,068 = 3,754,259,068/x
  3. Step 3: Cross multiply
    2,509,472,440x = 3,754,259,068 × 3,754,259,068
  4. Step 4: Simplify right side
    2,509,472,440x = 14,094,461,149,660,229,632
  5. Step 5: Solve for x
    x = 14,094,461,149,660,229,632/2,509,472,440
  6. Step 6: Final answer
    x = 5,616,503,662.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.