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Finding the Third Proportional to 11,086,574 and 23,705,284

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Solution

The third proportional to 11,086,574 and 23,705,284 is: 50,686,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086,574 : 23,705,284 = 23,705,284 : x
  2. Step 2: Convert to fraction form
    11,086,574/23,705,284 = 23,705,284/x
  3. Step 3: Cross multiply
    11,086,574x = 23,705,284 × 23,705,284
  4. Step 4: Simplify right side
    11,086,574x = 561,940,489,520,656
  5. Step 5: Solve for x
    x = 561,940,489,520,656/11,086,574
  6. Step 6: Final answer
    x = 50,686,577.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.