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Finding the Third Proportional to 534,079,956,353 and 720,599,260,176

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Solution

The third proportional to 534,079,956,353 and 720,599,260,176 is: 972,257,594,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,079,956,353 : 720,599,260,176 = 720,599,260,176 : x
  2. Step 2: Convert to fraction form
    534,079,956,353/720,599,260,176 = 720,599,260,176/x
  3. Step 3: Cross multiply
    534,079,956,353x = 720,599,260,176 × 720,599,260,176
  4. Step 4: Simplify right side
    534,079,956,353x = 519,263,293,766,198,521,495,552
  5. Step 5: Solve for x
    x = 519,263,293,766,198,521,495,552/534,079,956,353
  6. Step 6: Final answer
    x = 972,257,594,746.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.