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Finding the Third Proportional to 7,443,467,248 and 11,524,125,480

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Solution

The third proportional to 7,443,467,248 and 11,524,125,480 is: 17,841,882,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443,467,248 : 11,524,125,480 = 11,524,125,480 : x
  2. Step 2: Convert to fraction form
    7,443,467,248/11,524,125,480 = 11,524,125,480/x
  3. Step 3: Cross multiply
    7,443,467,248x = 11,524,125,480 × 11,524,125,480
  4. Step 4: Simplify right side
    7,443,467,248x = 132,805,468,078,785,232,896
  5. Step 5: Solve for x
    x = 132,805,468,078,785,232,896/7,443,467,248
  6. Step 6: Final answer
    x = 17,841,882,506.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.