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Finding the Third Proportional to 5,458,172,922 and 8,384,421,306

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Solution

The third proportional to 5,458,172,922 and 8,384,421,306 is: 12,879,496,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,922 : 8,384,421,306 = 8,384,421,306 : x
  2. Step 2: Convert to fraction form
    5,458,172,922/8,384,421,306 = 8,384,421,306/x
  3. Step 3: Cross multiply
    5,458,172,922x = 8,384,421,306 × 8,384,421,306
  4. Step 4: Simplify right side
    5,458,172,922x = 70,298,520,636,506,742,784
  5. Step 5: Solve for x
    x = 70,298,520,636,506,742,784/5,458,172,922
  6. Step 6: Final answer
    x = 12,879,496,791.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.