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Finding the Third Proportional to 30,284,979 and 46,983,036

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Solution

The third proportional to 30,284,979 and 46,983,036 is: 72,887,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284,979 : 46,983,036 = 46,983,036 : x
  2. Step 2: Convert to fraction form
    30,284,979/46,983,036 = 46,983,036/x
  3. Step 3: Cross multiply
    30,284,979x = 46,983,036 × 46,983,036
  4. Step 4: Simplify right side
    30,284,979x = 2,207,405,671,777,296
  5. Step 5: Solve for x
    x = 2,207,405,671,777,296/30,284,979
  6. Step 6: Final answer
    x = 72,887,805.92

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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.