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Finding the Third Proportional to 464,133,288 and 696,200,016

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Solution

The third proportional to 464,133,288 and 696,200,016 is: 1,044,300,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,133,288 : 696,200,016 = 696,200,016 : x
  2. Step 2: Convert to fraction form
    464,133,288/696,200,016 = 696,200,016/x
  3. Step 3: Cross multiply
    464,133,288x = 696,200,016 × 696,200,016
  4. Step 4: Simplify right side
    464,133,288x = 484,694,462,278,400,256
  5. Step 5: Solve for x
    x = 484,694,462,278,400,256/464,133,288
  6. Step 6: Final answer
    x = 1,044,300,150.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.