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Finding the Third Proportional to 4,857,838 and 10,388,281

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Solution

The third proportional to 4,857,838 and 10,388,281 is: 22,214,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,838 : 10,388,281 = 10,388,281 : x
  2. Step 2: Convert to fraction form
    4,857,838/10,388,281 = 10,388,281/x
  3. Step 3: Cross multiply
    4,857,838x = 10,388,281 × 10,388,281
  4. Step 4: Simplify right side
    4,857,838x = 107,916,382,134,961
  5. Step 5: Solve for x
    x = 107,916,382,134,961/4,857,838
  6. Step 6: Final answer
    x = 22,214,899.33

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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.