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Finding the Third Proportional to 2,853,860,498 and 4,366,087,027

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Solution

The third proportional to 2,853,860,498 and 4,366,087,027 is: 6,679,624,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,860,498 : 4,366,087,027 = 4,366,087,027 : x
  2. Step 2: Convert to fraction form
    2,853,860,498/4,366,087,027 = 4,366,087,027/x
  3. Step 3: Cross multiply
    2,853,860,498x = 4,366,087,027 × 4,366,087,027
  4. Step 4: Simplify right side
    2,853,860,498x = 19,062,715,927,337,697,280
  5. Step 5: Solve for x
    x = 19,062,715,927,337,697,280/2,853,860,498
  6. Step 6: Final answer
    x = 6,679,624,298.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.