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Finding the Third Proportional to 9,822,858.75 and 20,663,730

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Solution

The third proportional to 9,822,858.75 and 20,663,730 is: 43,468,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,858.75 : 20,663,730 = 20,663,730 : x
  2. Step 2: Convert to fraction form
    9,822,858.75/20,663,730 = 20,663,730/x
  3. Step 3: Cross multiply
    9,822,858.75x = 20,663,730 × 20,663,730
  4. Step 4: Simplify right side
    9,822,858.75x = 426,989,737,512,900
  5. Step 5: Solve for x
    x = 426,989,737,512,900/9,822,858.75
  6. Step 6: Final answer
    x = 43,468,988.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.