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Finding the Third Proportional to 3,209,627 and 6,994,998

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Solution

The third proportional to 3,209,627 and 6,994,998 is: 15,244,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,627 : 6,994,998 = 6,994,998 : x
  2. Step 2: Convert to fraction form
    3,209,627/6,994,998 = 6,994,998/x
  3. Step 3: Cross multiply
    3,209,627x = 6,994,998 × 6,994,998
  4. Step 4: Simplify right side
    3,209,627x = 48,929,997,020,004
  5. Step 5: Solve for x
    x = 48,929,997,020,004/3,209,627
  6. Step 6: Final answer
    x = 15,244,761.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.