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Finding the Third Proportional to 476,101,904 and 735,367,729

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Solution

The third proportional to 476,101,904 and 735,367,729 is: 1,135,819,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,101,904 : 735,367,729 = 735,367,729 : x
  2. Step 2: Convert to fraction form
    476,101,904/735,367,729 = 735,367,729/x
  3. Step 3: Cross multiply
    476,101,904x = 735,367,729 × 735,367,729
  4. Step 4: Simplify right side
    476,101,904x = 540,765,696,854,617,472
  5. Step 5: Solve for x
    x = 540,765,696,854,617,472/476,101,904
  6. Step 6: Final answer
    x = 1,135,819,227.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.