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Finding the Third Proportional to 5,148,964 and 11,107,256

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Solution

The third proportional to 5,148,964 and 11,107,256 is: 23,960,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,964 : 11,107,256 = 11,107,256 : x
  2. Step 2: Convert to fraction form
    5,148,964/11,107,256 = 11,107,256/x
  3. Step 3: Cross multiply
    5,148,964x = 11,107,256 × 11,107,256
  4. Step 4: Simplify right side
    5,148,964x = 123,371,135,849,536
  5. Step 5: Solve for x
    x = 123,371,135,849,536/5,148,964
  6. Step 6: Final answer
    x = 23,960,380.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.