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Finding the Third Proportional to 10,348,347 and 21,769,161

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Solution

The third proportional to 10,348,347 and 21,769,161 is: 45,794,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,347 : 21,769,161 = 21,769,161 : x
  2. Step 2: Convert to fraction form
    10,348,347/21,769,161 = 21,769,161/x
  3. Step 3: Cross multiply
    10,348,347x = 21,769,161 × 21,769,161
  4. Step 4: Simplify right side
    10,348,347x = 473,896,370,643,921
  5. Step 5: Solve for x
    x = 473,896,370,643,921/10,348,347
  6. Step 6: Final answer
    x = 45,794,402.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.