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Finding the Third Proportional to 5,759,099,643 and 8,600,910,591

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Solution

The third proportional to 5,759,099,643 and 8,600,910,591 is: 12,845,004,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,099,643 : 8,600,910,591 = 8,600,910,591 : x
  2. Step 2: Convert to fraction form
    5,759,099,643/8,600,910,591 = 8,600,910,591/x
  3. Step 3: Cross multiply
    5,759,099,643x = 8,600,910,591 × 8,600,910,591
  4. Step 4: Simplify right side
    5,759,099,643x = 73,975,662,994,375,966,720
  5. Step 5: Solve for x
    x = 73,975,662,994,375,966,720/5,759,099,643
  6. Step 6: Final answer
    x = 12,845,004,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.