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Finding the Third Proportional to 2,534,176.13 and 5,248,005.19

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Solution

The third proportional to 2,534,176.13 and 5,248,005.19 is: 10,868,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,176.13 : 5,248,005.19 = 5,248,005.19 : x
  2. Step 2: Convert to fraction form
    2,534,176.13/5,248,005.19 = 5,248,005.19/x
  3. Step 3: Cross multiply
    2,534,176.13x = 5,248,005.19 × 5,248,005.19
  4. Step 4: Simplify right side
    2,534,176.13x = 27,541,558,448,026.91
  5. Step 5: Solve for x
    x = 27,541,558,448,026.91/2,534,176.13
  6. Step 6: Final answer
    x = 10,868,052.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.