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Finding the Third Proportional to 25,976,097 and 56,473,470

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Solution

The third proportional to 25,976,097 and 56,473,470 is: 122,776,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976,097 : 56,473,470 = 56,473,470 : x
  2. Step 2: Convert to fraction form
    25,976,097/56,473,470 = 56,473,470/x
  3. Step 3: Cross multiply
    25,976,097x = 56,473,470 × 56,473,470
  4. Step 4: Simplify right side
    25,976,097x = 3,189,252,813,840,900
  5. Step 5: Solve for x
    x = 3,189,252,813,840,900/25,976,097
  6. Step 6: Final answer
    x = 122,776,443.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.