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Finding the Third Proportional to 19,784,676.75 and 42,953,310.75

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Solution

The third proportional to 19,784,676.75 and 42,953,310.75 is: 93,253,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784,676.75 : 42,953,310.75 = 42,953,310.75 : x
  2. Step 2: Convert to fraction form
    19,784,676.75/42,953,310.75 = 42,953,310.75/x
  3. Step 3: Cross multiply
    19,784,676.75x = 42,953,310.75 × 42,953,310.75
  4. Step 4: Simplify right side
    19,784,676.75x = 1,844,986,904,386,065.50
  5. Step 5: Solve for x
    x = 1,844,986,904,386,065.50/19,784,676.75
  6. Step 6: Final answer
    x = 93,253,325.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.