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Finding the Third Proportional to 7,567,426 and 11,749,875

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Solution

The third proportional to 7,567,426 and 11,749,875 is: 18,243,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,426 : 11,749,875 = 11,749,875 : x
  2. Step 2: Convert to fraction form
    7,567,426/11,749,875 = 11,749,875/x
  3. Step 3: Cross multiply
    7,567,426x = 11,749,875 × 11,749,875
  4. Step 4: Simplify right side
    7,567,426x = 138,059,562,515,625
  5. Step 5: Solve for x
    x = 138,059,562,515,625/7,567,426
  6. Step 6: Final answer
    x = 18,243,926.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.