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Finding the Third Proportional to 8,106,052 and 12,649,830

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Solution

The third proportional to 8,106,052 and 12,649,830 is: 19,740,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106,052 : 12,649,830 = 12,649,830 : x
  2. Step 2: Convert to fraction form
    8,106,052/12,649,830 = 12,649,830/x
  3. Step 3: Cross multiply
    8,106,052x = 12,649,830 × 12,649,830
  4. Step 4: Simplify right side
    8,106,052x = 160,018,199,028,900
  5. Step 5: Solve for x
    x = 160,018,199,028,900/8,106,052
  6. Step 6: Final answer
    x = 19,740,583.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.