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Finding the Third Proportional to 9,641,064 and 13,220,028

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Solution

The third proportional to 9,641,064 and 13,220,028 is: 18,127,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,064 : 13,220,028 = 13,220,028 : x
  2. Step 2: Convert to fraction form
    9,641,064/13,220,028 = 13,220,028/x
  3. Step 3: Cross multiply
    9,641,064x = 13,220,028 × 13,220,028
  4. Step 4: Simplify right side
    9,641,064x = 174,769,140,320,784
  5. Step 5: Solve for x
    x = 174,769,140,320,784/9,641,064
  6. Step 6: Final answer
    x = 18,127,578.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.