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Finding the Third Proportional to 42,327,706 and 63,326,823

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Solution

The third proportional to 42,327,706 and 63,326,823 is: 94,743,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,327,706 : 63,326,823 = 63,326,823 : x
  2. Step 2: Convert to fraction form
    42,327,706/63,326,823 = 63,326,823/x
  3. Step 3: Cross multiply
    42,327,706x = 63,326,823 × 63,326,823
  4. Step 4: Simplify right side
    42,327,706x = 4,010,286,511,273,329
  5. Step 5: Solve for x
    x = 4,010,286,511,273,329/42,327,706
  6. Step 6: Final answer
    x = 94,743,771.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.