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Finding the Third Proportional to 2,909,727 and 6,284,070

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Solution

The third proportional to 2,909,727 and 6,284,070 is: 13,571,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,727 : 6,284,070 = 6,284,070 : x
  2. Step 2: Convert to fraction form
    2,909,727/6,284,070 = 6,284,070/x
  3. Step 3: Cross multiply
    2,909,727x = 6,284,070 × 6,284,070
  4. Step 4: Simplify right side
    2,909,727x = 39,489,535,764,900
  5. Step 5: Solve for x
    x = 39,489,535,764,900/2,909,727
  6. Step 6: Final answer
    x = 13,571,560.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.