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Finding the Third Proportional to 9,432,928.41 and 14,290,869.23

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Solution

The third proportional to 9,432,928.41 and 14,290,869.23 is: 21,650,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432,928.41 : 14,290,869.23 = 14,290,869.23 : x
  2. Step 2: Convert to fraction form
    9,432,928.41/14,290,869.23 = 14,290,869.23/x
  3. Step 3: Cross multiply
    9,432,928.41x = 14,290,869.23 × 14,290,869.23
  4. Step 4: Simplify right side
    9,432,928.41x = 204,228,943,474,005.91
  5. Step 5: Solve for x
    x = 204,228,943,474,005.91/9,432,928.41
  6. Step 6: Final answer
    x = 21,650,640.68

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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.