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Finding the Third Proportional to 6,514,929 and 14,039,635.50

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Solution

The third proportional to 6,514,929 and 14,039,635.50 is: 30,255,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,929 : 14,039,635.50 = 14,039,635.50 : x
  2. Step 2: Convert to fraction form
    6,514,929/14,039,635.50 = 14,039,635.50/x
  3. Step 3: Cross multiply
    6,514,929x = 14,039,635.50 × 14,039,635.50
  4. Step 4: Simplify right side
    6,514,929x = 197,111,364,972,860.25
  5. Step 5: Solve for x
    x = 197,111,364,972,860.25/6,514,929
  6. Step 6: Final answer
    x = 30,255,335.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.