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Finding the Third Proportional to 2,072,277,464 and 4,507,639,849

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Solution

The third proportional to 2,072,277,464 and 4,507,639,849 is: 9,805,065,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,277,464 : 4,507,639,849 = 4,507,639,849 : x
  2. Step 2: Convert to fraction form
    2,072,277,464/4,507,639,849 = 4,507,639,849/x
  3. Step 3: Cross multiply
    2,072,277,464x = 4,507,639,849 × 4,507,639,849
  4. Step 4: Simplify right side
    2,072,277,464x = 20,318,817,008,292,741,120
  5. Step 5: Solve for x
    x = 20,318,817,008,292,741,120/2,072,277,464
  6. Step 6: Final answer
    x = 9,805,065,856.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.