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Finding the Third Proportional to 6,786,952 and 14,545,436

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Solution

The third proportional to 6,786,952 and 14,545,436 is: 31,173,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,952 : 14,545,436 = 14,545,436 : x
  2. Step 2: Convert to fraction form
    6,786,952/14,545,436 = 14,545,436/x
  3. Step 3: Cross multiply
    6,786,952x = 14,545,436 × 14,545,436
  4. Step 4: Simplify right side
    6,786,952x = 211,569,708,430,096
  5. Step 5: Solve for x
    x = 211,569,708,430,096/6,786,952
  6. Step 6: Final answer
    x = 31,173,007.92

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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.