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Finding the Third Proportional to 884,022,266 and 1,473,281,649

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Solution

The third proportional to 884,022,266 and 1,473,281,649 is: 2,455,321,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,266 : 1,473,281,649 = 1,473,281,649 : x
  2. Step 2: Convert to fraction form
    884,022,266/1,473,281,649 = 1,473,281,649/x
  3. Step 3: Cross multiply
    884,022,266x = 1,473,281,649 × 1,473,281,649
  4. Step 4: Simplify right side
    884,022,266x = 2,170,558,817,280,159,232
  5. Step 5: Solve for x
    x = 2,170,558,817,280,159,232/884,022,266
  6. Step 6: Final answer
    x = 2,455,321,433.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.