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Finding the Third Proportional to 643,714,344 and 1,390,336,305.75

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Solution

The third proportional to 643,714,344 and 1,390,336,305.75 is: 3,002,939,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714,344 : 1,390,336,305.75 = 1,390,336,305.75 : x
  2. Step 2: Convert to fraction form
    643,714,344/1,390,336,305.75 = 1,390,336,305.75/x
  3. Step 3: Cross multiply
    643,714,344x = 1,390,336,305.75 × 1,390,336,305.75
  4. Step 4: Simplify right side
    643,714,344x = 1,933,035,043,086,557,440
  5. Step 5: Solve for x
    x = 1,933,035,043,086,557,440/643,714,344
  6. Step 6: Final answer
    x = 3,002,939,209.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.