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Finding the Third Proportional to 10,181,133 and 14,241,420

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Solution

The third proportional to 10,181,133 and 14,241,420 is: 19,920,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,133 : 14,241,420 = 14,241,420 : x
  2. Step 2: Convert to fraction form
    10,181,133/14,241,420 = 14,241,420/x
  3. Step 3: Cross multiply
    10,181,133x = 14,241,420 × 14,241,420
  4. Step 4: Simplify right side
    10,181,133x = 202,818,043,616,400
  5. Step 5: Solve for x
    x = 202,818,043,616,400/10,181,133
  6. Step 6: Final answer
    x = 19,920,969.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.