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Finding the Third Proportional to 6,378,962 and 13,643,090

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Solution

The third proportional to 6,378,962 and 13,643,090 is: 29,179,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,962 : 13,643,090 = 13,643,090 : x
  2. Step 2: Convert to fraction form
    6,378,962/13,643,090 = 13,643,090/x
  3. Step 3: Cross multiply
    6,378,962x = 13,643,090 × 13,643,090
  4. Step 4: Simplify right side
    6,378,962x = 186,133,904,748,100
  5. Step 5: Solve for x
    x = 186,133,904,748,100/6,378,962
  6. Step 6: Final answer
    x = 29,179,340.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.