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Finding the Third Proportional to 30,189,904 and 46,459,320

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Solution

The third proportional to 30,189,904 and 46,459,320 is: 71,496,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189,904 : 46,459,320 = 46,459,320 : x
  2. Step 2: Convert to fraction form
    30,189,904/46,459,320 = 46,459,320/x
  3. Step 3: Cross multiply
    30,189,904x = 46,459,320 × 46,459,320
  4. Step 4: Simplify right side
    30,189,904x = 2,158,468,414,862,400
  5. Step 5: Solve for x
    x = 2,158,468,414,862,400/30,189,904
  6. Step 6: Final answer
    x = 71,496,365.63

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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.