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Finding the Third Proportional to 4,098,300.19 and 8,827,336.69

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Solution

The third proportional to 4,098,300.19 and 8,827,336.69 is: 19,013,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,300.19 : 8,827,336.69 = 8,827,336.69 : x
  2. Step 2: Convert to fraction form
    4,098,300.19/8,827,336.69 = 8,827,336.69/x
  3. Step 3: Cross multiply
    4,098,300.19x = 8,827,336.69 × 8,827,336.69
  4. Step 4: Simplify right side
    4,098,300.19x = 77,921,872,994,483.47
  5. Step 5: Solve for x
    x = 77,921,872,994,483.47/4,098,300.19
  6. Step 6: Final answer
    x = 19,013,217.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.