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Finding the Third Proportional to 491,224,022.63 and 1,065,330,009.38

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Solution

The third proportional to 491,224,022.63 and 1,065,330,009.38 is: 2,310,408,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224,022.63 : 1,065,330,009.38 = 1,065,330,009.38 : x
  2. Step 2: Convert to fraction form
    491,224,022.63/1,065,330,009.38 = 1,065,330,009.38/x
  3. Step 3: Cross multiply
    491,224,022.63x = 1,065,330,009.38 × 1,065,330,009.38
  4. Step 4: Simplify right side
    491,224,022.63x = 1,134,928,028,874,937,600
  5. Step 5: Solve for x
    x = 1,134,928,028,874,937,600/491,224,022.63
  6. Step 6: Final answer
    x = 2,310,408,238.61

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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.