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Finding the Third Proportional to 10,107,203.50 and 21,985,292

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Solution

The third proportional to 10,107,203.50 and 21,985,292 is: 47,822,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,203.50 : 21,985,292 = 21,985,292 : x
  2. Step 2: Convert to fraction form
    10,107,203.50/21,985,292 = 21,985,292/x
  3. Step 3: Cross multiply
    10,107,203.50x = 21,985,292 × 21,985,292
  4. Step 4: Simplify right side
    10,107,203.50x = 483,353,064,325,264
  5. Step 5: Solve for x
    x = 483,353,064,325,264/10,107,203.50
  6. Step 6: Final answer
    x = 47,822,631.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.