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Finding the Third Proportional to 4,475,192 and 9,658,000

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Solution

The third proportional to 4,475,192 and 9,658,000 is: 20,843,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,192 : 9,658,000 = 9,658,000 : x
  2. Step 2: Convert to fraction form
    4,475,192/9,658,000 = 9,658,000/x
  3. Step 3: Cross multiply
    4,475,192x = 9,658,000 × 9,658,000
  4. Step 4: Simplify right side
    4,475,192x = 93,276,964,000,000
  5. Step 5: Solve for x
    x = 93,276,964,000,000/4,475,192
  6. Step 6: Final answer
    x = 20,843,120.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.