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Finding the Third Proportional to 10,181,155 and 14,241,443

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Solution

The third proportional to 10,181,155 and 14,241,443 is: 19,920,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,155 : 14,241,443 = 14,241,443 : x
  2. Step 2: Convert to fraction form
    10,181,155/14,241,443 = 14,241,443/x
  3. Step 3: Cross multiply
    10,181,155x = 14,241,443 × 14,241,443
  4. Step 4: Simplify right side
    10,181,155x = 202,818,698,722,249
  5. Step 5: Solve for x
    x = 202,818,698,722,249/10,181,155
  6. Step 6: Final answer
    x = 19,920,991.16

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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.