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Finding the Third Proportional to 1,414,015,245 and 3,072,784,905

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Solution

The third proportional to 1,414,015,245 and 3,072,784,905 is: 6,677,443,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,015,245 : 3,072,784,905 = 3,072,784,905 : x
  2. Step 2: Convert to fraction form
    1,414,015,245/3,072,784,905 = 3,072,784,905/x
  3. Step 3: Cross multiply
    1,414,015,245x = 3,072,784,905 × 3,072,784,905
  4. Step 4: Simplify right side
    1,414,015,245x = 9,442,007,072,395,859,968
  5. Step 5: Solve for x
    x = 9,442,007,072,395,859,968/1,414,015,245
  6. Step 6: Final answer
    x = 6,677,443,617.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.