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Finding the Third Proportional to 4,464,164,707 and 7,350,714,099

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Solution

The third proportional to 4,464,164,707 and 7,350,714,099 is: 12,103,719,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,164,707 : 7,350,714,099 = 7,350,714,099 : x
  2. Step 2: Convert to fraction form
    4,464,164,707/7,350,714,099 = 7,350,714,099/x
  3. Step 3: Cross multiply
    4,464,164,707x = 7,350,714,099 × 7,350,714,099
  4. Step 4: Simplify right side
    4,464,164,707x = 54,032,997,765,237,383,168
  5. Step 5: Solve for x
    x = 54,032,997,765,237,383,168/4,464,164,707
  6. Step 6: Final answer
    x = 12,103,719,578.38

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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.