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Finding the Third Proportional to 735,518,496 and 1,096,899,480

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Solution

The third proportional to 735,518,496 and 1,096,899,480 is: 1,635,837,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,518,496 : 1,096,899,480 = 1,096,899,480 : x
  2. Step 2: Convert to fraction form
    735,518,496/1,096,899,480 = 1,096,899,480/x
  3. Step 3: Cross multiply
    735,518,496x = 1,096,899,480 × 1,096,899,480
  4. Step 4: Simplify right side
    735,518,496x = 1,203,188,469,224,270,336
  5. Step 5: Solve for x
    x = 1,203,188,469,224,270,336/735,518,496
  6. Step 6: Final answer
    x = 1,635,837,134.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.