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Finding the Third Proportional to 6,305,931 and 13,789,683

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Solution

The third proportional to 6,305,931 and 13,789,683 is: 30,155,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305,931 : 13,789,683 = 13,789,683 : x
  2. Step 2: Convert to fraction form
    6,305,931/13,789,683 = 13,789,683/x
  3. Step 3: Cross multiply
    6,305,931x = 13,789,683 × 13,789,683
  4. Step 4: Simplify right side
    6,305,931x = 190,155,357,240,489
  5. Step 5: Solve for x
    x = 190,155,357,240,489/6,305,931
  6. Step 6: Final answer
    x = 30,155,001.26

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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.