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Finding the Third Proportional to 12,674,976 and 27,370,470

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Solution

The third proportional to 12,674,976 and 27,370,470 is: 59,104,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674,976 : 27,370,470 = 27,370,470 : x
  2. Step 2: Convert to fraction form
    12,674,976/27,370,470 = 27,370,470/x
  3. Step 3: Cross multiply
    12,674,976x = 27,370,470 × 27,370,470
  4. Step 4: Simplify right side
    12,674,976x = 749,142,628,020,900
  5. Step 5: Solve for x
    x = 749,142,628,020,900/12,674,976
  6. Step 6: Final answer
    x = 59,104,066.79

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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.