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Finding the Third Proportional to 6,400,746 and 13,996,494

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Solution

The third proportional to 6,400,746 and 13,996,494 is: 30,606,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400,746 : 13,996,494 = 13,996,494 : x
  2. Step 2: Convert to fraction form
    6,400,746/13,996,494 = 13,996,494/x
  3. Step 3: Cross multiply
    6,400,746x = 13,996,494 × 13,996,494
  4. Step 4: Simplify right side
    6,400,746x = 195,901,844,292,036
  5. Step 5: Solve for x
    x = 195,901,844,292,036/6,400,746
  6. Step 6: Final answer
    x = 30,606,095.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.