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Finding the Third Proportional to 1,494,900,969.08 and 3,203,028,899.47

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Solution

The third proportional to 1,494,900,969.08 and 3,203,028,899.47 is: 6,862,925,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,900,969.08 : 3,203,028,899.47 = 3,203,028,899.47 : x
  2. Step 2: Convert to fraction form
    1,494,900,969.08/3,203,028,899.47 = 3,203,028,899.47/x
  3. Step 3: Cross multiply
    1,494,900,969.08x = 3,203,028,899.47 × 3,203,028,899.47
  4. Step 4: Simplify right side
    1,494,900,969.08x = 10,259,394,130,856,654,848
  5. Step 5: Solve for x
    x = 10,259,394,130,856,654,848/1,494,900,969.08
  6. Step 6: Final answer
    x = 6,862,925,600.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.