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Finding the Third Proportional to 8,242,425 and 12,125,254.50

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Solution

The third proportional to 8,242,425 and 12,125,254.50 is: 17,837,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,425 : 12,125,254.50 = 12,125,254.50 : x
  2. Step 2: Convert to fraction form
    8,242,425/12,125,254.50 = 12,125,254.50/x
  3. Step 3: Cross multiply
    8,242,425x = 12,125,254.50 × 12,125,254.50
  4. Step 4: Simplify right side
    8,242,425x = 147,021,796,689,770.25
  5. Step 5: Solve for x
    x = 147,021,796,689,770.25/8,242,425
  6. Step 6: Final answer
    x = 17,837,201.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.