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Finding the Third Proportional to 25,032,117 and 51,982,713

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Solution

The third proportional to 25,032,117 and 51,982,713 is: 107,949,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032,117 : 51,982,713 = 51,982,713 : x
  2. Step 2: Convert to fraction form
    25,032,117/51,982,713 = 51,982,713/x
  3. Step 3: Cross multiply
    25,032,117x = 51,982,713 × 51,982,713
  4. Step 4: Simplify right side
    25,032,117x = 2,702,202,450,840,369
  5. Step 5: Solve for x
    x = 2,702,202,450,840,369/25,032,117
  6. Step 6: Final answer
    x = 107,949,417.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.