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Finding the Third Proportional to 9,586,540.13 and 13,484,108.81

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Solution

The third proportional to 9,586,540.13 and 13,484,108.81 is: 18,966,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,540.13 : 13,484,108.81 = 13,484,108.81 : x
  2. Step 2: Convert to fraction form
    9,586,540.13/13,484,108.81 = 13,484,108.81/x
  3. Step 3: Cross multiply
    9,586,540.13x = 13,484,108.81 × 13,484,108.81
  4. Step 4: Simplify right side
    9,586,540.13x = 181,821,190,467,340.16
  5. Step 5: Solve for x
    x = 181,821,190,467,340.16/9,586,540.13
  6. Step 6: Final answer
    x = 18,966,299.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.