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Finding the Third Proportional to 6,858,801 and 10,098,712.50

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Solution

The third proportional to 6,858,801 and 10,098,712.50 is: 14,869,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,801 : 10,098,712.50 = 10,098,712.50 : x
  2. Step 2: Convert to fraction form
    6,858,801/10,098,712.50 = 10,098,712.50/x
  3. Step 3: Cross multiply
    6,858,801x = 10,098,712.50 × 10,098,712.50
  4. Step 4: Simplify right side
    6,858,801x = 101,983,994,157,656.25
  5. Step 5: Solve for x
    x = 101,983,994,157,656.25/6,858,801
  6. Step 6: Final answer
    x = 14,869,070.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.