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Finding the Third Proportional to 455,482,423,744.50 and 948,664,858,705.50

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Solution

The third proportional to 455,482,423,744.50 and 948,664,858,705.50 is: 1,975,850,147,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,482,423,744.50 : 948,664,858,705.50 = 948,664,858,705.50 : x
  2. Step 2: Convert to fraction form
    455,482,423,744.50/948,664,858,705.50 = 948,664,858,705.50/x
  3. Step 3: Cross multiply
    455,482,423,744.50x = 948,664,858,705.50 × 948,664,858,705.50
  4. Step 4: Simplify right side
    455,482,423,744.50x = 899,965,014,142,726,281,625,600
  5. Step 5: Solve for x
    x = 899,965,014,142,726,281,625,600/455,482,423,744.50
  6. Step 6: Final answer
    x = 1,975,850,147,507.68

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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.