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Finding the Third Proportional to 707,758,059 and 1,551,565,014

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Solution

The third proportional to 707,758,059 and 1,551,565,014 is: 3,401,379,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,758,059 : 1,551,565,014 = 1,551,565,014 : x
  2. Step 2: Convert to fraction form
    707,758,059/1,551,565,014 = 1,551,565,014/x
  3. Step 3: Cross multiply
    707,758,059x = 1,551,565,014 × 1,551,565,014
  4. Step 4: Simplify right side
    707,758,059x = 2,407,353,992,668,819,968
  5. Step 5: Solve for x
    x = 2,407,353,992,668,819,968/707,758,059
  6. Step 6: Final answer
    x = 3,401,379,838.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.