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Finding the Third Proportional to 555,165,835 and 1,234,458,824

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Solution

The third proportional to 555,165,835 and 1,234,458,824 is: 2,744,925,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,165,835 : 1,234,458,824 = 1,234,458,824 : x
  2. Step 2: Convert to fraction form
    555,165,835/1,234,458,824 = 1,234,458,824/x
  3. Step 3: Cross multiply
    555,165,835x = 1,234,458,824 × 1,234,458,824
  4. Step 4: Simplify right side
    555,165,835x = 1,523,888,588,151,462,912
  5. Step 5: Solve for x
    x = 1,523,888,588,151,462,912/555,165,835
  6. Step 6: Final answer
    x = 2,744,925,015.34

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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.