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Finding the Third Proportional to 512,736,639,165 and 753,745,605,187.50

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Solution

The third proportional to 512,736,639,165 and 753,745,605,187.50 is: 1,108,039,476,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736,639,165 : 753,745,605,187.50 = 753,745,605,187.50 : x
  2. Step 2: Convert to fraction form
    512,736,639,165/753,745,605,187.50 = 753,745,605,187.50/x
  3. Step 3: Cross multiply
    512,736,639,165x = 753,745,605,187.50 × 753,745,605,187.50
  4. Step 4: Simplify right side
    512,736,639,165x = 568,132,437,339,470,634,680,320
  5. Step 5: Solve for x
    x = 568,132,437,339,470,634,680,320/512,736,639,165
  6. Step 6: Final answer
    x = 1,108,039,476,688.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.