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Finding the Third Proportional to 10,149,899 and 13,824,784

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Solution

The third proportional to 10,149,899 and 13,824,784 is: 18,830,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,899 : 13,824,784 = 13,824,784 : x
  2. Step 2: Convert to fraction form
    10,149,899/13,824,784 = 13,824,784/x
  3. Step 3: Cross multiply
    10,149,899x = 13,824,784 × 13,824,784
  4. Step 4: Simplify right side
    10,149,899x = 191,124,652,646,656
  5. Step 5: Solve for x
    x = 191,124,652,646,656/10,149,899
  6. Step 6: Final answer
    x = 18,830,202.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.