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Finding the Third Proportional to 62,006,198 and 144,828,410

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Solution

The third proportional to 62,006,198 and 144,828,410 is: 338,276,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,006,198 : 144,828,410 = 144,828,410 : x
  2. Step 2: Convert to fraction form
    62,006,198/144,828,410 = 144,828,410/x
  3. Step 3: Cross multiply
    62,006,198x = 144,828,410 × 144,828,410
  4. Step 4: Simplify right side
    62,006,198x = 20,975,268,343,128,100
  5. Step 5: Solve for x
    x = 20,975,268,343,128,100/62,006,198
  6. Step 6: Final answer
    x = 338,276,962.94

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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.