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Finding the Third Proportional to 5,241,829 and 11,212,316

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Solution

The third proportional to 5,241,829 and 11,212,316 is: 23,983,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,829 : 11,212,316 = 11,212,316 : x
  2. Step 2: Convert to fraction form
    5,241,829/11,212,316 = 11,212,316/x
  3. Step 3: Cross multiply
    5,241,829x = 11,212,316 × 11,212,316
  4. Step 4: Simplify right side
    5,241,829x = 125,716,030,083,856
  5. Step 5: Solve for x
    x = 125,716,030,083,856/5,241,829
  6. Step 6: Final answer
    x = 23,983,237.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.