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Finding the Third Proportional to 5,107,808 and 10,838,263

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Solution

The third proportional to 5,107,808 and 10,838,263 is: 22,997,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,808 : 10,838,263 = 10,838,263 : x
  2. Step 2: Convert to fraction form
    5,107,808/10,838,263 = 10,838,263/x
  3. Step 3: Cross multiply
    5,107,808x = 10,838,263 × 10,838,263
  4. Step 4: Simplify right side
    5,107,808x = 117,467,944,857,169
  5. Step 5: Solve for x
    x = 117,467,944,857,169/5,107,808
  6. Step 6: Final answer
    x = 22,997,721.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.