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Finding the Third Proportional to 2,275,893.42 and 4,876,411.71

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Solution

The third proportional to 2,275,893.42 and 4,876,411.71 is: 10,448,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,893.42 : 4,876,411.71 = 4,876,411.71 : x
  2. Step 2: Convert to fraction form
    2,275,893.42/4,876,411.71 = 4,876,411.71/x
  3. Step 3: Cross multiply
    2,275,893.42x = 4,876,411.71 × 4,876,411.71
  4. Step 4: Simplify right side
    2,275,893.42x = 23,779,391,174,568.39
  5. Step 5: Solve for x
    x = 23,779,391,174,568.39/2,275,893.42
  6. Step 6: Final answer
    x = 10,448,376.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.