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Finding the Third Proportional to 706,289,396 and 1,649,685,884

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Solution

The third proportional to 706,289,396 and 1,649,685,884 is: 3,853,184,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,289,396 : 1,649,685,884 = 1,649,685,884 : x
  2. Step 2: Convert to fraction form
    706,289,396/1,649,685,884 = 1,649,685,884/x
  3. Step 3: Cross multiply
    706,289,396x = 1,649,685,884 × 1,649,685,884
  4. Step 4: Simplify right side
    706,289,396x = 2,721,463,515,868,861,440
  5. Step 5: Solve for x
    x = 2,721,463,515,868,861,440/706,289,396
  6. Step 6: Final answer
    x = 3,853,184,730.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.