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Finding the Third Proportional to 5,458,172,359 and 8,384,420,491

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Solution

The third proportional to 5,458,172,359 and 8,384,420,491 is: 12,879,495,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,359 : 8,384,420,491 = 8,384,420,491 : x
  2. Step 2: Convert to fraction form
    5,458,172,359/8,384,420,491 = 8,384,420,491/x
  3. Step 3: Cross multiply
    5,458,172,359x = 8,384,420,491 × 8,384,420,491
  4. Step 4: Simplify right side
    5,458,172,359x = 70,298,506,969,900,679,168
  5. Step 5: Solve for x
    x = 70,298,506,969,900,679,168/5,458,172,359
  6. Step 6: Final answer
    x = 12,879,495,616.14

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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.