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Finding the Third Proportional to 453,131,022.66 and 975,985,989.75

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Solution

The third proportional to 453,131,022.66 and 975,985,989.75 is: 2,102,148,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,131,022.66 : 975,985,989.75 = 975,985,989.75 : x
  2. Step 2: Convert to fraction form
    453,131,022.66/975,985,989.75 = 975,985,989.75/x
  3. Step 3: Cross multiply
    453,131,022.66x = 975,985,989.75 × 975,985,989.75
  4. Step 4: Simplify right side
    453,131,022.66x = 952,548,652,188,287,104
  5. Step 5: Solve for x
    x = 952,548,652,188,287,104/453,131,022.66
  6. Step 6: Final answer
    x = 2,102,148,395.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.