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Finding the Third Proportional to 6,371,861.25 and 9,438,290.63

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Solution

The third proportional to 6,371,861.25 and 9,438,290.63 is: 13,980,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,861.25 : 9,438,290.63 = 9,438,290.63 : x
  2. Step 2: Convert to fraction form
    6,371,861.25/9,438,290.63 = 9,438,290.63/x
  3. Step 3: Cross multiply
    6,371,861.25x = 9,438,290.63 × 9,438,290.63
  4. Step 4: Simplify right side
    6,371,861.25x = 89,081,329,921,962.89
  5. Step 5: Solve for x
    x = 89,081,329,921,962.89/6,371,861.25
  6. Step 6: Final answer
    x = 13,980,425.25

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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.