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Finding the Third Proportional to 8,419,038.75 and 12,704,374.13

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Solution

The third proportional to 8,419,038.75 and 12,704,374.13 is: 19,170,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,038.75 : 12,704,374.13 = 12,704,374.13 : x
  2. Step 2: Convert to fraction form
    8,419,038.75/12,704,374.13 = 12,704,374.13/x
  3. Step 3: Cross multiply
    8,419,038.75x = 12,704,374.13 × 12,704,374.13
  4. Step 4: Simplify right side
    8,419,038.75x = 161,401,121,907,969.50
  5. Step 5: Solve for x
    x = 161,401,121,907,969.50/8,419,038.75
  6. Step 6: Final answer
    x = 19,170,967.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.