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Finding the Third Proportional to 653,026,689 and 1,420,840,260

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Solution

The third proportional to 653,026,689 and 1,420,840,260 is: 3,091,431,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,026,689 : 1,420,840,260 = 1,420,840,260 : x
  2. Step 2: Convert to fraction form
    653,026,689/1,420,840,260 = 1,420,840,260/x
  3. Step 3: Cross multiply
    653,026,689x = 1,420,840,260 × 1,420,840,260
  4. Step 4: Simplify right side
    653,026,689x = 2,018,787,044,436,867,584
  5. Step 5: Solve for x
    x = 2,018,787,044,436,867,584/653,026,689
  6. Step 6: Final answer
    x = 3,091,431,144.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.