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Finding the Third Proportional to 5,282,103 and 11,576,787

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Solution

The third proportional to 5,282,103 and 11,576,787 is: 25,372,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282,103 : 11,576,787 = 11,576,787 : x
  2. Step 2: Convert to fraction form
    5,282,103/11,576,787 = 11,576,787/x
  3. Step 3: Cross multiply
    5,282,103x = 11,576,787 × 11,576,787
  4. Step 4: Simplify right side
    5,282,103x = 134,021,997,243,369
  5. Step 5: Solve for x
    x = 134,021,997,243,369/5,282,103
  6. Step 6: Final answer
    x = 25,372,848.13

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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.