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Finding the Third Proportional to 209,581,046,530 and 455,882,859,455

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Solution

The third proportional to 209,581,046,530 and 455,882,859,455 is: 991,641,109,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,046,530 : 455,882,859,455 = 455,882,859,455 : x
  2. Step 2: Convert to fraction form
    209,581,046,530/455,882,859,455 = 455,882,859,455/x
  3. Step 3: Cross multiply
    209,581,046,530x = 455,882,859,455 × 455,882,859,455
  4. Step 4: Simplify right side
    209,581,046,530x = 207,829,181,544,867,293,036,544
  5. Step 5: Solve for x
    x = 207,829,181,544,867,293,036,544/209,581,046,530
  6. Step 6: Final answer
    x = 991,641,109,660.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.