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Finding the Third Proportional to 2,296,113 and 5,011,914

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Solution

The third proportional to 2,296,113 and 5,011,914 is: 10,939,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,113 : 5,011,914 = 5,011,914 : x
  2. Step 2: Convert to fraction form
    2,296,113/5,011,914 = 5,011,914/x
  3. Step 3: Cross multiply
    2,296,113x = 5,011,914 × 5,011,914
  4. Step 4: Simplify right side
    2,296,113x = 25,119,281,943,396
  5. Step 5: Solve for x
    x = 25,119,281,943,396/2,296,113
  6. Step 6: Final answer
    x = 10,939,915.39

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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.