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Finding the Third Proportional to 19,069,214 and 41,703,535

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Solution

The third proportional to 19,069,214 and 41,703,535 is: 91,203,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069,214 : 41,703,535 = 41,703,535 : x
  2. Step 2: Convert to fraction form
    19,069,214/41,703,535 = 41,703,535/x
  3. Step 3: Cross multiply
    19,069,214x = 41,703,535 × 41,703,535
  4. Step 4: Simplify right side
    19,069,214x = 1,739,184,831,496,225
  5. Step 5: Solve for x
    x = 1,739,184,831,496,225/19,069,214
  6. Step 6: Final answer
    x = 91,203,802.71

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Why These Related Problems?

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