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Finding the Third Proportional to 386,294,518.13 and 836,716,250.25

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Solution

The third proportional to 386,294,518.13 and 836,716,250.25 is: 1,812,332,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,294,518.13 : 836,716,250.25 = 836,716,250.25 : x
  2. Step 2: Convert to fraction form
    386,294,518.13/836,716,250.25 = 836,716,250.25/x
  3. Step 3: Cross multiply
    386,294,518.13x = 836,716,250.25 × 836,716,250.25
  4. Step 4: Simplify right side
    386,294,518.13x = 700,094,083,432,420,608
  5. Step 5: Solve for x
    x = 700,094,083,432,420,608/386,294,518.13
  6. Step 6: Final answer
    x = 1,812,332,431.82

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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.