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Finding the Third Proportional to 541,128,663 and 836,542,831.50

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Solution

The third proportional to 541,128,663 and 836,542,831.50 is: 1,293,230,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,128,663 : 836,542,831.50 = 836,542,831.50 : x
  2. Step 2: Convert to fraction form
    541,128,663/836,542,831.50 = 836,542,831.50/x
  3. Step 3: Cross multiply
    541,128,663x = 836,542,831.50 × 836,542,831.50
  4. Step 4: Simplify right side
    541,128,663x = 699,803,908,934,037,376
  5. Step 5: Solve for x
    x = 699,803,908,934,037,376/541,128,663
  6. Step 6: Final answer
    x = 1,293,230,162.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.