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Finding the Third Proportional to 62,098,085,786 and 135,076,398,796

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Solution

The third proportional to 62,098,085,786 and 135,076,398,796 is: 293,819,580,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,085,786 : 135,076,398,796 = 135,076,398,796 : x
  2. Step 2: Convert to fraction form
    62,098,085,786/135,076,398,796 = 135,076,398,796/x
  3. Step 3: Cross multiply
    62,098,085,786x = 135,076,398,796 × 135,076,398,796
  4. Step 4: Simplify right side
    62,098,085,786x = 18,245,633,511,696,029,974,528
  5. Step 5: Solve for x
    x = 18,245,633,511,696,029,974,528/62,098,085,786
  6. Step 6: Final answer
    x = 293,819,580,438.82

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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.