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Finding the Third Proportional to 455,482,384,212 and 948,664,768,560

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Solution

The third proportional to 455,482,384,212 and 948,664,768,560 is: 1,975,849,943,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,482,384,212 : 948,664,768,560 = 948,664,768,560 : x
  2. Step 2: Convert to fraction form
    455,482,384,212/948,664,768,560 = 948,664,768,560/x
  3. Step 3: Cross multiply
    455,482,384,212x = 948,664,768,560 × 948,664,768,560
  4. Step 4: Simplify right side
    455,482,384,212x = 899,964,843,106,998,337,667,072
  5. Step 5: Solve for x
    x = 899,964,843,106,998,337,667,072/455,482,384,212
  6. Step 6: Final answer
    x = 1,975,849,943,492.26

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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.