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Finding the Third Proportional to 700,172,231.63 and 1,428,469,004.81

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Solution

The third proportional to 700,172,231.63 and 1,428,469,004.81 is: 2,914,316,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,172,231.63 : 1,428,469,004.81 = 1,428,469,004.81 : x
  2. Step 2: Convert to fraction form
    700,172,231.63/1,428,469,004.81 = 1,428,469,004.81/x
  3. Step 3: Cross multiply
    700,172,231.63x = 1,428,469,004.81 × 1,428,469,004.81
  4. Step 4: Simplify right side
    700,172,231.63x = 2,040,523,697,710,014,208
  5. Step 5: Solve for x
    x = 2,040,523,697,710,014,208/700,172,231.63
  6. Step 6: Final answer
    x = 2,914,316,800.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.