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Finding the Third Proportional to 3,148,653,882 and 7,289,332,787

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Solution

The third proportional to 3,148,653,882 and 7,289,332,787 is: 16,875,266,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,653,882 : 7,289,332,787 = 7,289,332,787 : x
  2. Step 2: Convert to fraction form
    3,148,653,882/7,289,332,787 = 7,289,332,787/x
  3. Step 3: Cross multiply
    3,148,653,882x = 7,289,332,787 × 7,289,332,787
  4. Step 4: Simplify right side
    3,148,653,882x = 53,134,372,479,633,186,816
  5. Step 5: Solve for x
    x = 53,134,372,479,633,186,816/3,148,653,882
  6. Step 6: Final answer
    x = 16,875,266,215.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.