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Finding the Third Proportional to 10,090,486 and 15,654,021.50

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Solution

The third proportional to 10,090,486 and 15,654,021.50 is: 24,285,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090,486 : 15,654,021.50 = 15,654,021.50 : x
  2. Step 2: Convert to fraction form
    10,090,486/15,654,021.50 = 15,654,021.50/x
  3. Step 3: Cross multiply
    10,090,486x = 15,654,021.50 × 15,654,021.50
  4. Step 4: Simplify right side
    10,090,486x = 245,048,389,122,462.25
  5. Step 5: Solve for x
    x = 245,048,389,122,462.25/10,090,486
  6. Step 6: Final answer
    x = 24,285,092.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.