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Finding the Third Proportional to 17,521,172,328,002 and 25,756,900,584,483

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Solution

The third proportional to 17,521,172,328,002 and 25,756,900,584,483 is: 37,863,786,469,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521,172,328,002 : 25,756,900,584,483 = 25,756,900,584,483 : x
  2. Step 2: Convert to fraction form
    17,521,172,328,002/25,756,900,584,483 = 25,756,900,584,483/x
  3. Step 3: Cross multiply
    17,521,172,328,002x = 25,756,900,584,483 × 25,756,900,584,483
  4. Step 4: Simplify right side
    17,521,172,328,002x = 663,417,927,718,940,662,774,628,352
  5. Step 5: Solve for x
    x = 663,417,927,718,940,662,774,628,352/17,521,172,328,002
  6. Step 6: Final answer
    x = 37,863,786,469,280.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.