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Finding the Third Proportional to 62,098,089,552 and 135,076,405,142

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Solution

The third proportional to 62,098,089,552 and 135,076,405,142 is: 293,819,590,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,098,089,552 : 135,076,405,142 = 135,076,405,142 : x
  2. Step 2: Convert to fraction form
    62,098,089,552/135,076,405,142 = 135,076,405,142/x
  3. Step 3: Cross multiply
    62,098,089,552x = 135,076,405,142 × 135,076,405,142
  4. Step 4: Simplify right side
    62,098,089,552x = 18,245,635,226,085,724,520,448
  5. Step 5: Solve for x
    x = 18,245,635,226,085,724,520,448/62,098,089,552
  6. Step 6: Final answer
    x = 293,819,590,227.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.