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Finding the Third Proportional to 7,846,470 and 11,814,957

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Solution

The third proportional to 7,846,470 and 11,814,957 is: 17,790,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,470 : 11,814,957 = 11,814,957 : x
  2. Step 2: Convert to fraction form
    7,846,470/11,814,957 = 11,814,957/x
  3. Step 3: Cross multiply
    7,846,470x = 11,814,957 × 11,814,957
  4. Step 4: Simplify right side
    7,846,470x = 139,593,208,911,849
  5. Step 5: Solve for x
    x = 139,593,208,911,849/7,846,470
  6. Step 6: Final answer
    x = 17,790,574.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.