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Finding the Third Proportional to 2,907,353,604 and 6,340,907,608

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Solution

The third proportional to 2,907,353,604 and 6,340,907,608 is: 13,829,452,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,353,604 : 6,340,907,608 = 6,340,907,608 : x
  2. Step 2: Convert to fraction form
    2,907,353,604/6,340,907,608 = 6,340,907,608/x
  3. Step 3: Cross multiply
    2,907,353,604x = 6,340,907,608 × 6,340,907,608
  4. Step 4: Simplify right side
    2,907,353,604x = 40,207,109,293,192,282,112
  5. Step 5: Solve for x
    x = 40,207,109,293,192,282,112/2,907,353,604
  6. Step 6: Final answer
    x = 13,829,452,749.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.