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Finding the Third Proportional to 37,780,724,096 and 82,678,541,060

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Solution

The third proportional to 37,780,724,096 and 82,678,541,060 is: 180,931,978,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780,724,096 : 82,678,541,060 = 82,678,541,060 : x
  2. Step 2: Convert to fraction form
    37,780,724,096/82,678,541,060 = 82,678,541,060/x
  3. Step 3: Cross multiply
    37,780,724,096x = 82,678,541,060 × 82,678,541,060
  4. Step 4: Simplify right side
    37,780,724,096x = 6,835,741,151,810,106,163,200
  5. Step 5: Solve for x
    x = 6,835,741,151,810,106,163,200/37,780,724,096
  6. Step 6: Final answer
    x = 180,931,978,287.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.