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Finding the Third Proportional to 1,770,978,357 and 3,875,570,199

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Solution

The third proportional to 1,770,978,357 and 3,875,570,199 is: 8,481,212,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,978,357 : 3,875,570,199 = 3,875,570,199 : x
  2. Step 2: Convert to fraction form
    1,770,978,357/3,875,570,199 = 3,875,570,199/x
  3. Step 3: Cross multiply
    1,770,978,357x = 3,875,570,199 × 3,875,570,199
  4. Step 4: Simplify right side
    1,770,978,357x = 15,020,044,367,376,900,096
  5. Step 5: Solve for x
    x = 15,020,044,367,376,900,096/1,770,978,357
  6. Step 6: Final answer
    x = 8,481,212,832.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.