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Finding the Third Proportional to 8,455,280 and 18,106,300

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Solution

The third proportional to 8,455,280 and 18,106,300 is: 38,773,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455,280 : 18,106,300 = 18,106,300 : x
  2. Step 2: Convert to fraction form
    8,455,280/18,106,300 = 18,106,300/x
  3. Step 3: Cross multiply
    8,455,280x = 18,106,300 × 18,106,300
  4. Step 4: Simplify right side
    8,455,280x = 327,838,099,690,000
  5. Step 5: Solve for x
    x = 327,838,099,690,000/8,455,280
  6. Step 6: Final answer
    x = 38,773,180.75

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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.