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Finding the Third Proportional to 6,310,902 and 13,823,106

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Solution

The third proportional to 6,310,902 and 13,823,106 is: 30,277,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,902 : 13,823,106 = 13,823,106 : x
  2. Step 2: Convert to fraction form
    6,310,902/13,823,106 = 13,823,106/x
  3. Step 3: Cross multiply
    6,310,902x = 13,823,106 × 13,823,106
  4. Step 4: Simplify right side
    6,310,902x = 191,078,259,487,236
  5. Step 5: Solve for x
    x = 191,078,259,487,236/6,310,902
  6. Step 6: Final answer
    x = 30,277,487.99

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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.