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Finding the Third Proportional to 11,653,352 and 17,641,785

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Solution

The third proportional to 11,653,352 and 17,641,785 is: 26,707,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653,352 : 17,641,785 = 17,641,785 : x
  2. Step 2: Convert to fraction form
    11,653,352/17,641,785 = 17,641,785/x
  3. Step 3: Cross multiply
    11,653,352x = 17,641,785 × 17,641,785
  4. Step 4: Simplify right side
    11,653,352x = 311,232,577,986,225
  5. Step 5: Solve for x
    x = 311,232,577,986,225/11,653,352
  6. Step 6: Final answer
    x = 26,707,558.30

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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.