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Finding the Third Proportional to 884,022,264 and 1,473,281,646.75

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Solution

The third proportional to 884,022,264 and 1,473,281,646.75 is: 2,455,321,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,264 : 1,473,281,646.75 = 1,473,281,646.75 : x
  2. Step 2: Convert to fraction form
    884,022,264/1,473,281,646.75 = 1,473,281,646.75/x
  3. Step 3: Cross multiply
    884,022,264x = 1,473,281,646.75 × 1,473,281,646.75
  4. Step 4: Simplify right side
    884,022,264x = 2,170,558,810,650,391,808
  5. Step 5: Solve for x
    x = 2,170,558,810,650,391,808/884,022,264
  6. Step 6: Final answer
    x = 2,455,321,431.42

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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.