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Finding the Third Proportional to 4,321,616,740 and 10,003,919,882

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Solution

The third proportional to 4,321,616,740 and 10,003,919,882 is: 23,157,632,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321,616,740 : 10,003,919,882 = 10,003,919,882 : x
  2. Step 2: Convert to fraction form
    4,321,616,740/10,003,919,882 = 10,003,919,882/x
  3. Step 3: Cross multiply
    4,321,616,740x = 10,003,919,882 × 10,003,919,882
  4. Step 4: Simplify right side
    4,321,616,740x = 100,078,413,005,474,889,728
  5. Step 5: Solve for x
    x = 100,078,413,005,474,889,728/4,321,616,740
  6. Step 6: Final answer
    x = 23,157,632,670.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.