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Finding the Third Proportional to 21,229,292 and 46,433,317

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Solution

The third proportional to 21,229,292 and 46,433,317 is: 101,560,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229,292 : 46,433,317 = 46,433,317 : x
  2. Step 2: Convert to fraction form
    21,229,292/46,433,317 = 46,433,317/x
  3. Step 3: Cross multiply
    21,229,292x = 46,433,317 × 46,433,317
  4. Step 4: Simplify right side
    21,229,292x = 2,156,052,927,622,489
  5. Step 5: Solve for x
    x = 2,156,052,927,622,489/21,229,292
  6. Step 6: Final answer
    x = 101,560,284.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.