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Finding the Third Proportional to 6,747,158 and 14,692,304

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Solution

The third proportional to 6,747,158 and 14,692,304 is: 31,993,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,158 : 14,692,304 = 14,692,304 : x
  2. Step 2: Convert to fraction form
    6,747,158/14,692,304 = 14,692,304/x
  3. Step 3: Cross multiply
    6,747,158x = 14,692,304 × 14,692,304
  4. Step 4: Simplify right side
    6,747,158x = 215,863,796,828,416
  5. Step 5: Solve for x
    x = 215,863,796,828,416/6,747,158
  6. Step 6: Final answer
    x = 31,993,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.