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Finding the Third Proportional to 6,403,964 and 14,053,857

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Solution

The third proportional to 6,403,964 and 14,053,857 is: 30,841,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,964 : 14,053,857 = 14,053,857 : x
  2. Step 2: Convert to fraction form
    6,403,964/14,053,857 = 14,053,857/x
  3. Step 3: Cross multiply
    6,403,964x = 14,053,857 × 14,053,857
  4. Step 4: Simplify right side
    6,403,964x = 197,510,896,576,449
  5. Step 5: Solve for x
    x = 197,510,896,576,449/6,403,964
  6. Step 6: Final answer
    x = 30,841,974.84

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