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Finding the Third Proportional to 6,464,783 and 14,141,164

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Solution

The third proportional to 6,464,783 and 14,141,164 is: 30,932,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,783 : 14,141,164 = 14,141,164 : x
  2. Step 2: Convert to fraction form
    6,464,783/14,141,164 = 14,141,164/x
  3. Step 3: Cross multiply
    6,464,783x = 14,141,164 × 14,141,164
  4. Step 4: Simplify right side
    6,464,783x = 199,972,519,274,896
  5. Step 5: Solve for x
    x = 199,972,519,274,896/6,464,783
  6. Step 6: Final answer
    x = 30,932,595.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.