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Finding the Third Proportional to 9,731,207 and 14,017,498

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Solution

The third proportional to 9,731,207 and 14,017,498 is: 20,191,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,207 : 14,017,498 = 14,017,498 : x
  2. Step 2: Convert to fraction form
    9,731,207/14,017,498 = 14,017,498/x
  3. Step 3: Cross multiply
    9,731,207x = 14,017,498 × 14,017,498
  4. Step 4: Simplify right side
    9,731,207x = 196,490,250,180,004
  5. Step 5: Solve for x
    x = 196,490,250,180,004/9,731,207
  6. Step 6: Final answer
    x = 20,191,765.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.