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Finding the Third Proportional to 829,079,999,311.50 and 1,273,789,787,411.30

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Solution

The third proportional to 829,079,999,311.50 and 1,273,789,787,411.30 is: 1,957,037,226,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,079,999,311.50 : 1,273,789,787,411.30 = 1,273,789,787,411.30 : x
  2. Step 2: Convert to fraction form
    829,079,999,311.50/1,273,789,787,411.30 = 1,273,789,787,411.30/x
  3. Step 3: Cross multiply
    829,079,999,311.50x = 1,273,789,787,411.30 × 1,273,789,787,411.30
  4. Step 4: Simplify right side
    829,079,999,311.50x = 1,622,540,422,513,325,097,615,360
  5. Step 5: Solve for x
    x = 1,622,540,422,513,325,097,615,360/829,079,999,311.50
  6. Step 6: Final answer
    x = 1,957,037,226,637.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.