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Finding the Third Proportional to 4,502,225,682 and 9,920,414,916

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Solution

The third proportional to 4,502,225,682 and 9,920,414,916 is: 21,859,106,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502,225,682 : 9,920,414,916 = 9,920,414,916 : x
  2. Step 2: Convert to fraction form
    4,502,225,682/9,920,414,916 = 9,920,414,916/x
  3. Step 3: Cross multiply
    4,502,225,682x = 9,920,414,916 × 9,920,414,916
  4. Step 4: Simplify right side
    4,502,225,682x = 98,414,632,105,595,289,600
  5. Step 5: Solve for x
    x = 98,414,632,105,595,289,600/4,502,225,682
  6. Step 6: Final answer
    x = 21,859,106,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.