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Finding the Third Proportional to 5,759,099,802 and 8,600,910,810.75

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Solution

The third proportional to 5,759,099,802 and 8,600,910,810.75 is: 12,845,005,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,099,802 : 8,600,910,810.75 = 8,600,910,810.75 : x
  2. Step 2: Convert to fraction form
    5,759,099,802/8,600,910,810.75 = 8,600,910,810.75/x
  3. Step 3: Cross multiply
    5,759,099,802x = 8,600,910,810.75 × 8,600,910,810.75
  4. Step 4: Simplify right side
    5,759,099,802x = 73,975,666,774,476,226,560
  5. Step 5: Solve for x
    x = 73,975,666,774,476,226,560/5,759,099,802
  6. Step 6: Final answer
    x = 12,845,005,177.51

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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.