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Finding the Third Proportional to 6,548,698.13 and 13,776,026.91

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Solution

The third proportional to 6,548,698.13 and 13,776,026.91 is: 28,979,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,698.13 : 13,776,026.91 = 13,776,026.91 : x
  2. Step 2: Convert to fraction form
    6,548,698.13/13,776,026.91 = 13,776,026.91/x
  3. Step 3: Cross multiply
    6,548,698.13x = 13,776,026.91 × 13,776,026.91
  4. Step 4: Simplify right side
    6,548,698.13x = 189,778,917,321,723.94
  5. Step 5: Solve for x
    x = 189,778,917,321,723.94/6,548,698.13
  6. Step 6: Final answer
    x = 28,979,640.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.