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Finding the Third Proportional to 6,366,576 and 13,809,784

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Solution

The third proportional to 6,366,576 and 13,809,784 is: 29,954,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366,576 : 13,809,784 = 13,809,784 : x
  2. Step 2: Convert to fraction form
    6,366,576/13,809,784 = 13,809,784/x
  3. Step 3: Cross multiply
    6,366,576x = 13,809,784 × 13,809,784
  4. Step 4: Simplify right side
    6,366,576x = 190,710,134,126,656
  5. Step 5: Solve for x
    x = 190,710,134,126,656/6,366,576
  6. Step 6: Final answer
    x = 29,954,897.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.