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Finding the Third Proportional to 455,482,384,214 and 948,664,768,564

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Solution

The third proportional to 455,482,384,214 and 948,664,768,564 is: 1,975,849,943,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,482,384,214 : 948,664,768,564 = 948,664,768,564 : x
  2. Step 2: Convert to fraction form
    455,482,384,214/948,664,768,564 = 948,664,768,564/x
  3. Step 3: Cross multiply
    455,482,384,214x = 948,664,768,564 × 948,664,768,564
  4. Step 4: Simplify right side
    455,482,384,214x = 899,964,843,114,587,679,096,832
  5. Step 5: Solve for x
    x = 899,964,843,114,587,679,096,832/455,482,384,214
  6. Step 6: Final answer
    x = 1,975,849,943,500.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.