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Finding the Third Proportional to 706,289,427 and 1,649,685,964.50

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Solution

The third proportional to 706,289,427 and 1,649,685,964.50 is: 3,853,184,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,289,427 : 1,649,685,964.50 = 1,649,685,964.50 : x
  2. Step 2: Convert to fraction form
    706,289,427/1,649,685,964.50 = 1,649,685,964.50/x
  3. Step 3: Cross multiply
    706,289,427x = 1,649,685,964.50 × 1,649,685,964.50
  4. Step 4: Simplify right side
    706,289,427x = 2,721,463,781,468,295,168
  5. Step 5: Solve for x
    x = 2,721,463,781,468,295,168/706,289,427
  6. Step 6: Final answer
    x = 3,853,184,937.27

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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.