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Finding the Third Proportional to 4,637,200 and 9,890,684

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Solution

The third proportional to 4,637,200 and 9,890,684 is: 21,095,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,200 : 9,890,684 = 9,890,684 : x
  2. Step 2: Convert to fraction form
    4,637,200/9,890,684 = 9,890,684/x
  3. Step 3: Cross multiply
    4,637,200x = 9,890,684 × 9,890,684
  4. Step 4: Simplify right side
    4,637,200x = 97,825,629,987,856
  5. Step 5: Solve for x
    x = 97,825,629,987,856/4,637,200
  6. Step 6: Final answer
    x = 21,095,840.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.