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Finding the Third Proportional to 453,131,025.75 and 975,985,994.25

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Solution

The third proportional to 453,131,025.75 and 975,985,994.25 is: 2,102,148,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,131,025.75 : 975,985,994.25 = 975,985,994.25 : x
  2. Step 2: Convert to fraction form
    453,131,025.75/975,985,994.25 = 975,985,994.25/x
  3. Step 3: Cross multiply
    453,131,025.75x = 975,985,994.25 × 975,985,994.25
  4. Step 4: Simplify right side
    453,131,025.75x = 952,548,660,972,161,024
  5. Step 5: Solve for x
    x = 952,548,660,972,161,024/453,131,025.75
  6. Step 6: Final answer
    x = 2,102,148,400.44

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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.