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Finding the Third Proportional to 555,005,007 and 1,234,100,340

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Solution

The third proportional to 555,005,007 and 1,234,100,340 is: 2,744,125,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,005,007 : 1,234,100,340 = 1,234,100,340 : x
  2. Step 2: Convert to fraction form
    555,005,007/1,234,100,340 = 1,234,100,340/x
  3. Step 3: Cross multiply
    555,005,007x = 1,234,100,340 × 1,234,100,340
  4. Step 4: Simplify right side
    555,005,007x = 1,523,003,649,188,115,712
  5. Step 5: Solve for x
    x = 1,523,003,649,188,115,712/555,005,007
  6. Step 6: Final answer
    x = 2,744,125,962.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.