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Finding the Third Proportional to 539,337,800,511 and 1,173,620,778,353.40

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Solution

The third proportional to 539,337,800,511 and 1,173,620,778,353.40 is: 2,553,846,086,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,337,800,511 : 1,173,620,778,353.40 = 1,173,620,778,353.40 : x
  2. Step 2: Convert to fraction form
    539,337,800,511/1,173,620,778,353.40 = 1,173,620,778,353.40/x
  3. Step 3: Cross multiply
    539,337,800,511x = 1,173,620,778,353.40 × 1,173,620,778,353.40
  4. Step 4: Simplify right side
    539,337,800,511x = 1,377,385,731,382,840,318,230,528
  5. Step 5: Solve for x
    x = 1,377,385,731,382,840,318,230,528/539,337,800,511
  6. Step 6: Final answer
    x = 2,553,846,086,956.68

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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.