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Finding the Third Proportional to 8,455,276 and 18,106,294

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Solution

The third proportional to 8,455,276 and 18,106,294 is: 38,773,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455,276 : 18,106,294 = 18,106,294 : x
  2. Step 2: Convert to fraction form
    8,455,276/18,106,294 = 18,106,294/x
  3. Step 3: Cross multiply
    8,455,276x = 18,106,294 × 18,106,294
  4. Step 4: Simplify right side
    8,455,276x = 327,837,882,414,436
  5. Step 5: Solve for x
    x = 327,837,882,414,436/8,455,276
  6. Step 6: Final answer
    x = 38,773,173.39

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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.