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Finding the Third Proportional to 2,173,644,214 and 4,774,306,732

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Solution

The third proportional to 2,173,644,214 and 4,774,306,732 is: 10,486,538,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,644,214 : 4,774,306,732 = 4,774,306,732 : x
  2. Step 2: Convert to fraction form
    2,173,644,214/4,774,306,732 = 4,774,306,732/x
  3. Step 3: Cross multiply
    2,173,644,214x = 4,774,306,732 × 4,774,306,732
  4. Step 4: Simplify right side
    2,173,644,214x = 22,794,004,771,220,520,960
  5. Step 5: Solve for x
    x = 22,794,004,771,220,520,960/2,173,644,214
  6. Step 6: Final answer
    x = 10,486,538,976.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.