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Finding the Third Proportional to 4,421,714.06 and 9,374,869.13

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Solution

The third proportional to 4,421,714.06 and 9,374,869.13 is: 19,876,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,714.06 : 9,374,869.13 = 9,374,869.13 : x
  2. Step 2: Convert to fraction form
    4,421,714.06/9,374,869.13 = 9,374,869.13/x
  3. Step 3: Cross multiply
    4,421,714.06x = 9,374,869.13 × 9,374,869.13
  4. Step 4: Simplify right side
    4,421,714.06x = 87,888,171,110,878.27
  5. Step 5: Solve for x
    x = 87,888,171,110,878.27/4,421,714.06
  6. Step 6: Final answer
    x = 19,876,493.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.