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Finding the Third Proportional to 2,376,166.96 and 4,878,302.84

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Solution

The third proportional to 2,376,166.96 and 4,878,302.84 is: 10,015,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,166.96 : 4,878,302.84 = 4,878,302.84 : x
  2. Step 2: Convert to fraction form
    2,376,166.96/4,878,302.84 = 4,878,302.84/x
  3. Step 3: Cross multiply
    2,376,166.96x = 4,878,302.84 × 4,878,302.84
  4. Step 4: Simplify right side
    2,376,166.96x = 23,797,838,559,115.86
  5. Step 5: Solve for x
    x = 23,797,838,559,115.86/2,376,166.96
  6. Step 6: Final answer
    x = 10,015,221.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.