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Finding the Third Proportional to 1,074,120,564 and 1,658,630,110

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Solution

The third proportional to 1,074,120,564 and 1,658,630,110 is: 2,561,215,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,120,564 : 1,658,630,110 = 1,658,630,110 : x
  2. Step 2: Convert to fraction form
    1,074,120,564/1,658,630,110 = 1,658,630,110/x
  3. Step 3: Cross multiply
    1,074,120,564x = 1,658,630,110 × 1,658,630,110
  4. Step 4: Simplify right side
    1,074,120,564x = 2,751,053,841,798,611,968
  5. Step 5: Solve for x
    x = 2,751,053,841,798,611,968/1,074,120,564
  6. Step 6: Final answer
    x = 2,561,215,131.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.