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Finding the Third Proportional to 4,314,962 and 9,302,427

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Solution

The third proportional to 4,314,962 and 9,302,427 is: 20,054,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,962 : 9,302,427 = 9,302,427 : x
  2. Step 2: Convert to fraction form
    4,314,962/9,302,427 = 9,302,427/x
  3. Step 3: Cross multiply
    4,314,962x = 9,302,427 × 9,302,427
  4. Step 4: Simplify right side
    4,314,962x = 86,535,148,090,329
  5. Step 5: Solve for x
    x = 86,535,148,090,329/4,314,962
  6. Step 6: Final answer
    x = 20,054,672.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.