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Finding the Third Proportional to 526,821,100 and 1,171,431,076

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Solution

The third proportional to 526,821,100 and 1,171,431,076 is: 2,604,775,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,821,100 : 1,171,431,076 = 1,171,431,076 : x
  2. Step 2: Convert to fraction form
    526,821,100/1,171,431,076 = 1,171,431,076/x
  3. Step 3: Cross multiply
    526,821,100x = 1,171,431,076 × 1,171,431,076
  4. Step 4: Simplify right side
    526,821,100x = 1,372,250,765,818,517,760
  5. Step 5: Solve for x
    x = 1,372,250,765,818,517,760/526,821,100
  6. Step 6: Final answer
    x = 2,604,775,636.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.