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Finding the Third Proportional to 6,906,434.63 and 11,510,024.06

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Solution

The third proportional to 6,906,434.63 and 11,510,024.06 is: 19,182,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,434.63 : 11,510,024.06 = 11,510,024.06 : x
  2. Step 2: Convert to fraction form
    6,906,434.63/11,510,024.06 = 11,510,024.06/x
  3. Step 3: Cross multiply
    6,906,434.63x = 11,510,024.06 × 11,510,024.06
  4. Step 4: Simplify right side
    6,906,434.63x = 132,480,653,919,329
  5. Step 5: Solve for x
    x = 132,480,653,919,329/6,906,434.63
  6. Step 6: Final answer
    x = 19,182,206.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.