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Finding the Third Proportional to 7,883,342 and 16,945,106

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Solution

The third proportional to 7,883,342 and 16,945,106 is: 36,423,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,342 : 16,945,106 = 16,945,106 : x
  2. Step 2: Convert to fraction form
    7,883,342/16,945,106 = 16,945,106/x
  3. Step 3: Cross multiply
    7,883,342x = 16,945,106 × 16,945,106
  4. Step 4: Simplify right side
    7,883,342x = 287,136,617,351,236
  5. Step 5: Solve for x
    x = 287,136,617,351,236/7,883,342
  6. Step 6: Final answer
    x = 36,423,209.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.