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Finding the Third Proportional to 968,205,498 and 1,453,299,705

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Solution

The third proportional to 968,205,498 and 1,453,299,705 is: 2,181,437,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,205,498 : 1,453,299,705 = 1,453,299,705 : x
  2. Step 2: Convert to fraction form
    968,205,498/1,453,299,705 = 1,453,299,705/x
  3. Step 3: Cross multiply
    968,205,498x = 1,453,299,705 × 1,453,299,705
  4. Step 4: Simplify right side
    968,205,498x = 2,112,080,032,553,086,976
  5. Step 5: Solve for x
    x = 2,112,080,032,553,086,976/968,205,498
  6. Step 6: Final answer
    x = 2,181,437,759.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.