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Finding the Third Proportional to 533,753,898,527.10 and 813,118,915,772.60

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Solution

The third proportional to 533,753,898,527.10 and 813,118,915,772.60 is: 1,238,702,654,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,753,898,527.10 : 813,118,915,772.60 = 813,118,915,772.60 : x
  2. Step 2: Convert to fraction form
    533,753,898,527.10/813,118,915,772.60 = 813,118,915,772.60/x
  3. Step 3: Cross multiply
    533,753,898,527.10x = 813,118,915,772.60 × 813,118,915,772.60
  4. Step 4: Simplify right side
    533,753,898,527.10x = 661,162,371,187,208,563,458,048
  5. Step 5: Solve for x
    x = 661,162,371,187,208,563,458,048/533,753,898,527.10
  6. Step 6: Final answer
    x = 1,238,702,654,934.59

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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.