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Finding the Third Proportional to 3,375,912,810,492 and 4,554,899,027,248

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Solution

The third proportional to 3,375,912,810,492 and 4,554,899,027,248 is: 6,145,628,253,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375,912,810,492 : 4,554,899,027,248 = 4,554,899,027,248 : x
  2. Step 2: Convert to fraction form
    3,375,912,810,492/4,554,899,027,248 = 4,554,899,027,248/x
  3. Step 3: Cross multiply
    3,375,912,810,492x = 4,554,899,027,248 × 4,554,899,027,248
  4. Step 4: Simplify right side
    3,375,912,810,492x = 20,747,105,148,424,776,096,677,888
  5. Step 5: Solve for x
    x = 20,747,105,148,424,776,096,677,888/3,375,912,810,492
  6. Step 6: Final answer
    x = 6,145,628,253,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.