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Finding the Third Proportional to 465,353,232 and 721,546,208

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Solution

The third proportional to 465,353,232 and 721,546,208 is: 1,118,782,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,353,232 : 721,546,208 = 721,546,208 : x
  2. Step 2: Convert to fraction form
    465,353,232/721,546,208 = 721,546,208/x
  3. Step 3: Cross multiply
    465,353,232x = 721,546,208 × 721,546,208
  4. Step 4: Simplify right side
    465,353,232x = 520,628,930,279,179,264
  5. Step 5: Solve for x
    x = 520,628,930,279,179,264/465,353,232
  6. Step 6: Final answer
    x = 1,118,782,237.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.