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Finding the Third Proportional to 8,864,064 and 13,885,128

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Solution

The third proportional to 8,864,064 and 13,885,128 is: 21,750,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864,064 : 13,885,128 = 13,885,128 : x
  2. Step 2: Convert to fraction form
    8,864,064/13,885,128 = 13,885,128/x
  3. Step 3: Cross multiply
    8,864,064x = 13,885,128 × 13,885,128
  4. Step 4: Simplify right side
    8,864,064x = 192,796,779,576,384
  5. Step 5: Solve for x
    x = 192,796,779,576,384/8,864,064
  6. Step 6: Final answer
    x = 21,750,382.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.