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Finding the Third Proportional to 6,580,850 and 10,169,997

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Solution

The third proportional to 6,580,850 and 10,169,997 is: 15,716,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,850 : 10,169,997 = 10,169,997 : x
  2. Step 2: Convert to fraction form
    6,580,850/10,169,997 = 10,169,997/x
  3. Step 3: Cross multiply
    6,580,850x = 10,169,997 × 10,169,997
  4. Step 4: Simplify right side
    6,580,850x = 103,428,838,980,009
  5. Step 5: Solve for x
    x = 103,428,838,980,009/6,580,850
  6. Step 6: Final answer
    x = 15,716,638.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.