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Finding the Third Proportional to 53,703,498 and 82,594,098

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Solution

The third proportional to 53,703,498 and 82,594,098 is: 127,026,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703,498 : 82,594,098 = 82,594,098 : x
  2. Step 2: Convert to fraction form
    53,703,498/82,594,098 = 82,594,098/x
  3. Step 3: Cross multiply
    53,703,498x = 82,594,098 × 82,594,098
  4. Step 4: Simplify right side
    53,703,498x = 6,821,785,024,433,604
  5. Step 5: Solve for x
    x = 6,821,785,024,433,604/53,703,498
  6. Step 6: Final answer
    x = 127,026,828.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.