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Finding the Third Proportional to 11,716,480,536 and 25,671,364,296

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Solution

The third proportional to 11,716,480,536 and 25,671,364,296 is: 56,247,176,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716,480,536 : 25,671,364,296 = 25,671,364,296 : x
  2. Step 2: Convert to fraction form
    11,716,480,536/25,671,364,296 = 25,671,364,296/x
  3. Step 3: Cross multiply
    11,716,480,536x = 25,671,364,296 × 25,671,364,296
  4. Step 4: Simplify right side
    11,716,480,536x = 659,018,944,817,943,543,808
  5. Step 5: Solve for x
    x = 659,018,944,817,943,543,808/11,716,480,536
  6. Step 6: Final answer
    x = 56,247,176,171.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.