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Finding the Third Proportional to 355,835,932,366.50 and 542,079,277,204.50

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Solution

The third proportional to 355,835,932,366.50 and 542,079,277,204.50 is: 825,801,769,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,835,932,366.50 : 542,079,277,204.50 = 542,079,277,204.50 : x
  2. Step 2: Convert to fraction form
    355,835,932,366.50/542,079,277,204.50 = 542,079,277,204.50/x
  3. Step 3: Cross multiply
    355,835,932,366.50x = 542,079,277,204.50 × 542,079,277,204.50
  4. Step 4: Simplify right side
    355,835,932,366.50x = 293,849,942,774,553,157,566,464
  5. Step 5: Solve for x
    x = 293,849,942,774,553,157,566,464/355,835,932,366.50
  6. Step 6: Final answer
    x = 825,801,769,990.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.