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Finding the Third Proportional to 5,029,397 and 10,291,210

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Solution

The third proportional to 5,029,397 and 10,291,210 is: 21,057,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029,397 : 10,291,210 = 10,291,210 : x
  2. Step 2: Convert to fraction form
    5,029,397/10,291,210 = 10,291,210/x
  3. Step 3: Cross multiply
    5,029,397x = 10,291,210 × 10,291,210
  4. Step 4: Simplify right side
    5,029,397x = 105,909,003,264,100
  5. Step 5: Solve for x
    x = 105,909,003,264,100/5,029,397
  6. Step 6: Final answer
    x = 21,057,992.29

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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.