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Finding the Third Proportional to 9,777,210 and 14,366,154

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Solution

The third proportional to 9,777,210 and 14,366,154 is: 21,108,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777,210 : 14,366,154 = 14,366,154 : x
  2. Step 2: Convert to fraction form
    9,777,210/14,366,154 = 14,366,154/x
  3. Step 3: Cross multiply
    9,777,210x = 14,366,154 × 14,366,154
  4. Step 4: Simplify right side
    9,777,210x = 206,386,380,751,716
  5. Step 5: Solve for x
    x = 206,386,380,751,716/9,777,210
  6. Step 6: Final answer
    x = 21,108,923.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.