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Finding the Third Proportional to 2,034,455,106 and 4,394,149,124

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Solution

The third proportional to 2,034,455,106 and 4,394,149,124 is: 9,490,770,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,455,106 : 4,394,149,124 = 4,394,149,124 : x
  2. Step 2: Convert to fraction form
    2,034,455,106/4,394,149,124 = 4,394,149,124/x
  3. Step 3: Cross multiply
    2,034,455,106x = 4,394,149,124 × 4,394,149,124
  4. Step 4: Simplify right side
    2,034,455,106x = 19,308,546,523,949,969,408
  5. Step 5: Solve for x
    x = 19,308,546,523,949,969,408/2,034,455,106
  6. Step 6: Final answer
    x = 9,490,770,510.00

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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.