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Finding the Third Proportional to 5,103,337,614 and 8,005,623,624

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Solution

The third proportional to 5,103,337,614 and 8,005,623,624 is: 12,558,449,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103,337,614 : 8,005,623,624 = 8,005,623,624 : x
  2. Step 2: Convert to fraction form
    5,103,337,614/8,005,623,624 = 8,005,623,624/x
  3. Step 3: Cross multiply
    5,103,337,614x = 8,005,623,624 × 8,005,623,624
  4. Step 4: Simplify right side
    5,103,337,614x = 64,090,009,609,146,892,288
  5. Step 5: Solve for x
    x = 64,090,009,609,146,892,288/5,103,337,614
  6. Step 6: Final answer
    x = 12,558,449,872.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.