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Finding the Third Proportional to 3,325,504,908 and 4,649,251,585

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Solution

The third proportional to 3,325,504,908 and 4,649,251,585 is: 6,499,927,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325,504,908 : 4,649,251,585 = 4,649,251,585 : x
  2. Step 2: Convert to fraction form
    3,325,504,908/4,649,251,585 = 4,649,251,585/x
  3. Step 3: Cross multiply
    3,325,504,908x = 4,649,251,585 × 4,649,251,585
  4. Step 4: Simplify right side
    3,325,504,908x = 21,615,540,300,625,010,688
  5. Step 5: Solve for x
    x = 21,615,540,300,625,010,688/3,325,504,908
  6. Step 6: Final answer
    x = 6,499,927,348.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.