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Finding the Third Proportional to 12,030,649 and 25,978,905

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Solution

The third proportional to 12,030,649 and 25,978,905 is: 56,098,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,649 : 25,978,905 = 25,978,905 : x
  2. Step 2: Convert to fraction form
    12,030,649/25,978,905 = 25,978,905/x
  3. Step 3: Cross multiply
    12,030,649x = 25,978,905 × 25,978,905
  4. Step 4: Simplify right side
    12,030,649x = 674,903,504,999,025
  5. Step 5: Solve for x
    x = 674,903,504,999,025/12,030,649
  6. Step 6: Final answer
    x = 56,098,678.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.