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Finding the Third Proportional to 10,208,192.50 and 22,270,913

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Solution

The third proportional to 10,208,192.50 and 22,270,913 is: 48,587,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208,192.50 : 22,270,913 = 22,270,913 : x
  2. Step 2: Convert to fraction form
    10,208,192.50/22,270,913 = 22,270,913/x
  3. Step 3: Cross multiply
    10,208,192.50x = 22,270,913 × 22,270,913
  4. Step 4: Simplify right side
    10,208,192.50x = 495,993,565,853,569
  5. Step 5: Solve for x
    x = 495,993,565,853,569/10,208,192.50
  6. Step 6: Final answer
    x = 48,587,795.13

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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.