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Finding the Third Proportional to 14,382,000 and 30,811,032

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Solution

The third proportional to 14,382,000 and 30,811,032 is: 66,007,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382,000 : 30,811,032 = 30,811,032 : x
  2. Step 2: Convert to fraction form
    14,382,000/30,811,032 = 30,811,032/x
  3. Step 3: Cross multiply
    14,382,000x = 30,811,032 × 30,811,032
  4. Step 4: Simplify right side
    14,382,000x = 949,319,692,905,024
  5. Step 5: Solve for x
    x = 949,319,692,905,024/14,382,000
  6. Step 6: Final answer
    x = 66,007,488.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.