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Finding the Third Proportional to 5,649,958,672 and 9,303,247,896

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Solution

The third proportional to 5,649,958,672 and 9,303,247,896 is: 15,318,770,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649,958,672 : 9,303,247,896 = 9,303,247,896 : x
  2. Step 2: Convert to fraction form
    5,649,958,672/9,303,247,896 = 9,303,247,896/x
  3. Step 3: Cross multiply
    5,649,958,672x = 9,303,247,896 × 9,303,247,896
  4. Step 4: Simplify right side
    5,649,958,672x = 86,550,421,414,428,426,240
  5. Step 5: Solve for x
    x = 86,550,421,414,428,426,240/5,649,958,672
  6. Step 6: Final answer
    x = 15,318,770,709.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.