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Finding the Third Proportional to 8,314,928 and 17,778,972

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Solution

The third proportional to 8,314,928 and 17,778,972 is: 38,014,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314,928 : 17,778,972 = 17,778,972 : x
  2. Step 2: Convert to fraction form
    8,314,928/17,778,972 = 17,778,972/x
  3. Step 3: Cross multiply
    8,314,928x = 17,778,972 × 17,778,972
  4. Step 4: Simplify right side
    8,314,928x = 316,091,845,376,784
  5. Step 5: Solve for x
    x = 316,091,845,376,784/8,314,928
  6. Step 6: Final answer
    x = 38,014,982.86

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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.