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Finding the Third Proportional to 9,964,017 and 21,456,207

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Solution

The third proportional to 9,964,017 and 21,456,207 is: 46,203,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,017 : 21,456,207 = 21,456,207 : x
  2. Step 2: Convert to fraction form
    9,964,017/21,456,207 = 21,456,207/x
  3. Step 3: Cross multiply
    9,964,017x = 21,456,207 × 21,456,207
  4. Step 4: Simplify right side
    9,964,017x = 460,368,818,826,849
  5. Step 5: Solve for x
    x = 460,368,818,826,849/9,964,017
  6. Step 6: Final answer
    x = 46,203,134.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.