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Finding the Third Proportional to 10,292,049 and 21,915,252

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Solution

The third proportional to 10,292,049 and 21,915,252 is: 46,664,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,049 : 21,915,252 = 21,915,252 : x
  2. Step 2: Convert to fraction form
    10,292,049/21,915,252 = 21,915,252/x
  3. Step 3: Cross multiply
    10,292,049x = 21,915,252 × 21,915,252
  4. Step 4: Simplify right side
    10,292,049x = 480,278,270,223,504
  5. Step 5: Solve for x
    x = 480,278,270,223,504/10,292,049
  6. Step 6: Final answer
    x = 46,664,980.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.