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Finding the Third Proportional to 9,519,210 and 14,502,009

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Solution

The third proportional to 9,519,210 and 14,502,009 is: 22,093,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519,210 : 14,502,009 = 14,502,009 : x
  2. Step 2: Convert to fraction form
    9,519,210/14,502,009 = 14,502,009/x
  3. Step 3: Cross multiply
    9,519,210x = 14,502,009 × 14,502,009
  4. Step 4: Simplify right side
    9,519,210x = 210,308,265,036,081
  5. Step 5: Solve for x
    x = 210,308,265,036,081/9,519,210
  6. Step 6: Final answer
    x = 22,093,037.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.