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Finding the Third Proportional to 2,450,107,008 and 3,765,990,096

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Solution

The third proportional to 2,450,107,008 and 3,765,990,096 is: 5,788,596,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450,107,008 : 3,765,990,096 = 3,765,990,096 : x
  2. Step 2: Convert to fraction form
    2,450,107,008/3,765,990,096 = 3,765,990,096/x
  3. Step 3: Cross multiply
    2,450,107,008x = 3,765,990,096 × 3,765,990,096
  4. Step 4: Simplify right side
    2,450,107,008x = 14,182,681,403,170,088,960
  5. Step 5: Solve for x
    x = 14,182,681,403,170,088,960/2,450,107,008
  6. Step 6: Final answer
    x = 5,788,596,725.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.