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Finding the Third Proportional to 9,965,158 and 21,583,150

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Solution

The third proportional to 9,965,158 and 21,583,150 is: 46,746,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965,158 : 21,583,150 = 21,583,150 : x
  2. Step 2: Convert to fraction form
    9,965,158/21,583,150 = 21,583,150/x
  3. Step 3: Cross multiply
    9,965,158x = 21,583,150 × 21,583,150
  4. Step 4: Simplify right side
    9,965,158x = 465,832,363,922,500
  5. Step 5: Solve for x
    x = 465,832,363,922,500/9,965,158
  6. Step 6: Final answer
    x = 46,746,109.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.