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Finding the Third Proportional to 7,817,752 and 11,959,124

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Solution

The third proportional to 7,817,752 and 11,959,124 is: 18,294,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817,752 : 11,959,124 = 11,959,124 : x
  2. Step 2: Convert to fraction form
    7,817,752/11,959,124 = 11,959,124/x
  3. Step 3: Cross multiply
    7,817,752x = 11,959,124 × 11,959,124
  4. Step 4: Simplify right side
    7,817,752x = 143,020,646,847,376
  5. Step 5: Solve for x
    x = 143,020,646,847,376/7,817,752
  6. Step 6: Final answer
    x = 18,294,344.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.