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Finding the Third Proportional to 2,473,108 and 5,369,211

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Solution

The third proportional to 2,473,108 and 5,369,211 is: 11,656,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,108 : 5,369,211 = 5,369,211 : x
  2. Step 2: Convert to fraction form
    2,473,108/5,369,211 = 5,369,211/x
  3. Step 3: Cross multiply
    2,473,108x = 5,369,211 × 5,369,211
  4. Step 4: Simplify right side
    2,473,108x = 28,828,426,762,521
  5. Step 5: Solve for x
    x = 28,828,426,762,521/2,473,108
  6. Step 6: Final answer
    x = 11,656,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.