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Finding the Third Proportional to 11,298,906 and 14,507,559

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Solution

The third proportional to 11,298,906 and 14,507,559 is: 18,627,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298,906 : 14,507,559 = 14,507,559 : x
  2. Step 2: Convert to fraction form
    11,298,906/14,507,559 = 14,507,559/x
  3. Step 3: Cross multiply
    11,298,906x = 14,507,559 × 14,507,559
  4. Step 4: Simplify right side
    11,298,906x = 210,469,268,138,481
  5. Step 5: Solve for x
    x = 210,469,268,138,481/11,298,906
  6. Step 6: Final answer
    x = 18,627,402.35

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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.