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Finding the Third Proportional to 3,129,705.84 and 6,595,660.41

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Solution

The third proportional to 3,129,705.84 and 6,595,660.41 is: 13,899,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,705.84 : 6,595,660.41 = 6,595,660.41 : x
  2. Step 2: Convert to fraction form
    3,129,705.84/6,595,660.41 = 6,595,660.41/x
  3. Step 3: Cross multiply
    3,129,705.84x = 6,595,660.41 × 6,595,660.41
  4. Step 4: Simplify right side
    3,129,705.84x = 43,502,736,194,573.91
  5. Step 5: Solve for x
    x = 43,502,736,194,573.91/3,129,705.84
  6. Step 6: Final answer
    x = 13,899,944.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.