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Finding the Third Proportional to 5,107,913 and 11,112,631

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Solution

The third proportional to 5,107,913 and 11,112,631 is: 24,176,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,913 : 11,112,631 = 11,112,631 : x
  2. Step 2: Convert to fraction form
    5,107,913/11,112,631 = 11,112,631/x
  3. Step 3: Cross multiply
    5,107,913x = 11,112,631 × 11,112,631
  4. Step 4: Simplify right side
    5,107,913x = 123,490,567,742,161
  5. Step 5: Solve for x
    x = 123,490,567,742,161/5,107,913
  6. Step 6: Final answer
    x = 24,176,325.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.