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Finding the Third Proportional to 47,078,814 and 99,757,968

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Solution

The third proportional to 47,078,814 and 99,757,968 is: 211,382,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078,814 : 99,757,968 = 99,757,968 : x
  2. Step 2: Convert to fraction form
    47,078,814/99,757,968 = 99,757,968/x
  3. Step 3: Cross multiply
    47,078,814x = 99,757,968 × 99,757,968
  4. Step 4: Simplify right side
    47,078,814x = 9,951,652,179,489,024
  5. Step 5: Solve for x
    x = 9,951,652,179,489,024/47,078,814
  6. Step 6: Final answer
    x = 211,382,813.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.