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Finding the Third Proportional to 535,639,008,793.50 and 1,156,486,544,064

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Solution

The third proportional to 535,639,008,793.50 and 1,156,486,544,064 is: 2,496,944,966,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,639,008,793.50 : 1,156,486,544,064 = 1,156,486,544,064 : x
  2. Step 2: Convert to fraction form
    535,639,008,793.50/1,156,486,544,064 = 1,156,486,544,064/x
  3. Step 3: Cross multiply
    535,639,008,793.50x = 1,156,486,544,064 × 1,156,486,544,064
  4. Step 4: Simplify right side
    535,639,008,793.50x = 1,337,461,126,601,094,188,761,088
  5. Step 5: Solve for x
    x = 1,337,461,126,601,094,188,761,088/535,639,008,793.50
  6. Step 6: Final answer
    x = 2,496,944,966,001.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.