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Finding the Third Proportional to 47,099,797,110 and 95,583,597,804

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Solution

The third proportional to 47,099,797,110 and 95,583,597,804 is: 193,975,871,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099,797,110 : 95,583,597,804 = 95,583,597,804 : x
  2. Step 2: Convert to fraction form
    47,099,797,110/95,583,597,804 = 95,583,597,804/x
  3. Step 3: Cross multiply
    47,099,797,110x = 95,583,597,804 × 95,583,597,804
  4. Step 4: Simplify right side
    47,099,797,110x = 9,136,224,169,156,833,968,128
  5. Step 5: Solve for x
    x = 9,136,224,169,156,833,968,128/47,099,797,110
  6. Step 6: Final answer
    x = 193,975,871,017.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.