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Finding the Third Proportional to 14,463,016 and 21,176,988

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Solution

The third proportional to 14,463,016 and 21,176,988 is: 31,007,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,016 : 21,176,988 = 21,176,988 : x
  2. Step 2: Convert to fraction form
    14,463,016/21,176,988 = 21,176,988/x
  3. Step 3: Cross multiply
    14,463,016x = 21,176,988 × 21,176,988
  4. Step 4: Simplify right side
    14,463,016x = 448,464,820,752,144
  5. Step 5: Solve for x
    x = 448,464,820,752,144/14,463,016
  6. Step 6: Final answer
    x = 31,007,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.