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Finding the Third Proportional to 6,781,998 and 10,242,120

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Solution

The third proportional to 6,781,998 and 10,242,120 is: 15,467,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,998 : 10,242,120 = 10,242,120 : x
  2. Step 2: Convert to fraction form
    6,781,998/10,242,120 = 10,242,120/x
  3. Step 3: Cross multiply
    6,781,998x = 10,242,120 × 10,242,120
  4. Step 4: Simplify right side
    6,781,998x = 104,901,022,094,400
  5. Step 5: Solve for x
    x = 104,901,022,094,400/6,781,998
  6. Step 6: Final answer
    x = 15,467,569.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.