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Finding the Third Proportional to 62,098,088,384 and 135,076,403,920

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Solution

The third proportional to 62,098,088,384 and 135,076,403,920 is: 293,819,590,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,088,384 : 135,076,403,920 = 135,076,403,920 : x
  2. Step 2: Convert to fraction form
    62,098,088,384/135,076,403,920 = 135,076,403,920/x
  3. Step 3: Cross multiply
    62,098,088,384x = 135,076,403,920 × 135,076,403,920
  4. Step 4: Simplify right side
    62,098,088,384x = 18,245,634,895,958,991,962,112
  5. Step 5: Solve for x
    x = 18,245,634,895,958,991,962,112/62,098,088,384
  6. Step 6: Final answer
    x = 293,819,590,437.83

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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.