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Finding the Third Proportional to 9,744,873 and 13,623,522

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Solution

The third proportional to 9,744,873 and 13,623,522 is: 19,045,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744,873 : 13,623,522 = 13,623,522 : x
  2. Step 2: Convert to fraction form
    9,744,873/13,623,522 = 13,623,522/x
  3. Step 3: Cross multiply
    9,744,873x = 13,623,522 × 13,623,522
  4. Step 4: Simplify right side
    9,744,873x = 185,600,351,684,484
  5. Step 5: Solve for x
    x = 185,600,351,684,484/9,744,873
  6. Step 6: Final answer
    x = 19,045,948.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.