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Finding the Third Proportional to 18,425,015,706 and 39,785,977,284

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Solution

The third proportional to 18,425,015,706 and 39,785,977,284 is: 85,911,676,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,425,015,706 : 39,785,977,284 = 39,785,977,284 : x
  2. Step 2: Convert to fraction form
    18,425,015,706/39,785,977,284 = 39,785,977,284/x
  3. Step 3: Cross multiply
    18,425,015,706x = 39,785,977,284 × 39,785,977,284
  4. Step 4: Simplify right side
    18,425,015,706x = 1,582,923,988,442,964,033,536
  5. Step 5: Solve for x
    x = 1,582,923,988,442,964,033,536/18,425,015,706
  6. Step 6: Final answer
    x = 85,911,676,478.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.