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Finding the Third Proportional to 662,827,563 and 994,241,346

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Solution

The third proportional to 662,827,563 and 994,241,346 is: 1,491,362,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,827,563 : 994,241,346 = 994,241,346 : x
  2. Step 2: Convert to fraction form
    662,827,563/994,241,346 = 994,241,346/x
  3. Step 3: Cross multiply
    662,827,563x = 994,241,346 × 994,241,346
  4. Step 4: Simplify right side
    662,827,563x = 988,515,854,095,891,712
  5. Step 5: Solve for x
    x = 988,515,854,095,891,712/662,827,563
  6. Step 6: Final answer
    x = 1,491,362,021.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.