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Finding the Third Proportional to 6,371,863 and 9,438,294

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Solution

The third proportional to 6,371,863 and 9,438,294 is: 13,980,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,863 : 9,438,294 = 9,438,294 : x
  2. Step 2: Convert to fraction form
    6,371,863/9,438,294 = 9,438,294/x
  3. Step 3: Cross multiply
    6,371,863x = 9,438,294 × 9,438,294
  4. Step 4: Simplify right side
    6,371,863x = 89,081,393,630,436
  5. Step 5: Solve for x
    x = 89,081,393,630,436/6,371,863
  6. Step 6: Final answer
    x = 13,980,431.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.