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Finding the Third Proportional to 11,298,890 and 14,507,535

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Solution

The third proportional to 11,298,890 and 14,507,535 is: 18,627,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298,890 : 14,507,535 = 14,507,535 : x
  2. Step 2: Convert to fraction form
    11,298,890/14,507,535 = 14,507,535/x
  3. Step 3: Cross multiply
    11,298,890x = 14,507,535 × 14,507,535
  4. Step 4: Simplify right side
    11,298,890x = 210,468,571,776,225
  5. Step 5: Solve for x
    x = 210,468,571,776,225/11,298,890
  6. Step 6: Final answer
    x = 18,627,367.09

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.