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Finding the Third Proportional to 31,905,114 and 69,584,718

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Solution

The third proportional to 31,905,114 and 69,584,718 is: 151,763,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905,114 : 69,584,718 = 69,584,718 : x
  2. Step 2: Convert to fraction form
    31,905,114/69,584,718 = 69,584,718/x
  3. Step 3: Cross multiply
    31,905,114x = 69,584,718 × 69,584,718
  4. Step 4: Simplify right side
    31,905,114x = 4,842,032,979,139,524
  5. Step 5: Solve for x
    x = 4,842,032,979,139,524/31,905,114
  6. Step 6: Final answer
    x = 151,763,537.94

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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.