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Finding the Third Proportional to 14,455,747.69 and 19,822,740.19

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Solution

The third proportional to 14,455,747.69 and 19,822,740.19 is: 27,182,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455,747.69 : 19,822,740.19 = 19,822,740.19 : x
  2. Step 2: Convert to fraction form
    14,455,747.69/19,822,740.19 = 19,822,740.19/x
  3. Step 3: Cross multiply
    14,455,747.69x = 19,822,740.19 × 19,822,740.19
  4. Step 4: Simplify right side
    14,455,747.69x = 392,941,028,541,127.56
  5. Step 5: Solve for x
    x = 392,941,028,541,127.56/14,455,747.69
  6. Step 6: Final answer
    x = 27,182,338.61

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1.5x scale

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.