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Finding the Third Proportional to 7,852,490 and 11,731,827

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Solution

The third proportional to 7,852,490 and 11,731,827 is: 17,527,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,490 : 11,731,827 = 11,731,827 : x
  2. Step 2: Convert to fraction form
    7,852,490/11,731,827 = 11,731,827/x
  3. Step 3: Cross multiply
    7,852,490x = 11,731,827 × 11,731,827
  4. Step 4: Simplify right side
    7,852,490x = 137,635,764,757,929
  5. Step 5: Solve for x
    x = 137,635,764,757,929/7,852,490
  6. Step 6: Final answer
    x = 17,527,658.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.