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Finding the Third Proportional to 21,354,216 and 46,067,664

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Solution

The third proportional to 21,354,216 and 46,067,664 is: 99,382,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354,216 : 46,067,664 = 46,067,664 : x
  2. Step 2: Convert to fraction form
    21,354,216/46,067,664 = 46,067,664/x
  3. Step 3: Cross multiply
    21,354,216x = 46,067,664 × 46,067,664
  4. Step 4: Simplify right side
    21,354,216x = 2,122,229,666,416,896
  5. Step 5: Solve for x
    x = 2,122,229,666,416,896/21,354,216
  6. Step 6: Final answer
    x = 99,382,232.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.