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Finding the Third Proportional to 3,676,447,113,179 and 8,045,456,273,357

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Solution

The third proportional to 3,676,447,113,179 and 8,045,456,273,357 is: 17,606,500,149,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,447,113,179 : 8,045,456,273,357 = 8,045,456,273,357 : x
  2. Step 2: Convert to fraction form
    3,676,447,113,179/8,045,456,273,357 = 8,045,456,273,357/x
  3. Step 3: Cross multiply
    3,676,447,113,179x = 8,045,456,273,357 × 8,045,456,273,357
  4. Step 4: Simplify right side
    3,676,447,113,179x = 64,729,366,646,499,503,295,692,800
  5. Step 5: Solve for x
    x = 64,729,366,646,499,503,295,692,800/3,676,447,113,179
  6. Step 6: Final answer
    x = 17,606,500,149,142.21

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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.