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Finding the Third Proportional to 5,029,407 and 10,291,230

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Solution

The third proportional to 5,029,407 and 10,291,230 is: 21,058,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029,407 : 10,291,230 = 10,291,230 : x
  2. Step 2: Convert to fraction form
    5,029,407/10,291,230 = 10,291,230/x
  3. Step 3: Cross multiply
    5,029,407x = 10,291,230 × 10,291,230
  4. Step 4: Simplify right side
    5,029,407x = 105,909,414,912,900
  5. Step 5: Solve for x
    x = 105,909,414,912,900/5,029,407
  6. Step 6: Final answer
    x = 21,058,032.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.