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Finding the Third Proportional to 5,420,714.91 and 7,432,827.05

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Solution

The third proportional to 5,420,714.91 and 7,432,827.05 is: 10,191,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420,714.91 : 7,432,827.05 = 7,432,827.05 : x
  2. Step 2: Convert to fraction form
    5,420,714.91/7,432,827.05 = 7,432,827.05/x
  3. Step 3: Cross multiply
    5,420,714.91x = 7,432,827.05 × 7,432,827.05
  4. Step 4: Simplify right side
    5,420,714.91x = 55,246,917,908,756.53
  5. Step 5: Solve for x
    x = 55,246,917,908,756.53/5,420,714.91
  6. Step 6: Final answer
    x = 10,191,813.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.