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Finding the Third Proportional to 689,909,305.50 and 1,504,684,993.50

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Solution

The third proportional to 689,909,305.50 and 1,504,684,993.50 is: 3,281,702,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,909,305.50 : 1,504,684,993.50 = 1,504,684,993.50 : x
  2. Step 2: Convert to fraction form
    689,909,305.50/1,504,684,993.50 = 1,504,684,993.50/x
  3. Step 3: Cross multiply
    689,909,305.50x = 1,504,684,993.50 × 1,504,684,993.50
  4. Step 4: Simplify right side
    689,909,305.50x = 2,264,076,929,664,094,976
  5. Step 5: Solve for x
    x = 2,264,076,929,664,094,976/689,909,305.50
  6. Step 6: Final answer
    x = 3,281,702,263.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.