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Finding the Third Proportional to 4,531,976 and 9,863,184

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Solution

The third proportional to 4,531,976 and 9,863,184 is: 21,465,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,976 : 9,863,184 = 9,863,184 : x
  2. Step 2: Convert to fraction form
    4,531,976/9,863,184 = 9,863,184/x
  3. Step 3: Cross multiply
    4,531,976x = 9,863,184 × 9,863,184
  4. Step 4: Simplify right side
    4,531,976x = 97,282,398,617,856
  5. Step 5: Solve for x
    x = 97,282,398,617,856/4,531,976
  6. Step 6: Final answer
    x = 21,465,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.