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Finding the Third Proportional to 9,673,874 and 14,460,219

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Solution

The third proportional to 9,673,874 and 14,460,219 is: 21,614,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673,874 : 14,460,219 = 14,460,219 : x
  2. Step 2: Convert to fraction form
    9,673,874/14,460,219 = 14,460,219/x
  3. Step 3: Cross multiply
    9,673,874x = 14,460,219 × 14,460,219
  4. Step 4: Simplify right side
    9,673,874x = 209,097,933,527,961
  5. Step 5: Solve for x
    x = 209,097,933,527,961/9,673,874
  6. Step 6: Final answer
    x = 21,614,705.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.