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Finding the Third Proportional to 62,006,256 and 144,828,560.25

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Solution

The third proportional to 62,006,256 and 144,828,560.25 is: 338,277,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,006,256 : 144,828,560.25 = 144,828,560.25 : x
  2. Step 2: Convert to fraction form
    62,006,256/144,828,560.25 = 144,828,560.25/x
  3. Step 3: Cross multiply
    62,006,256x = 144,828,560.25 × 144,828,560.25
  4. Step 4: Simplify right side
    62,006,256x = 20,975,311,864,087,880
  5. Step 5: Solve for x
    x = 20,975,311,864,087,880/62,006,256
  6. Step 6: Final answer
    x = 338,277,348.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.