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Finding the Third Proportional to 8,106,054 and 12,649,833

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Solution

The third proportional to 8,106,054 and 12,649,833 is: 19,740,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106,054 : 12,649,833 = 12,649,833 : x
  2. Step 2: Convert to fraction form
    8,106,054/12,649,833 = 12,649,833/x
  3. Step 3: Cross multiply
    8,106,054x = 12,649,833 × 12,649,833
  4. Step 4: Simplify right side
    8,106,054x = 160,018,274,927,889
  5. Step 5: Solve for x
    x = 160,018,274,927,889/8,106,054
  6. Step 6: Final answer
    x = 19,740,588.32

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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.