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Finding the Third Proportional to 9,700,104 and 14,490,252

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Solution

The third proportional to 9,700,104 and 14,490,252 is: 21,645,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,104 : 14,490,252 = 14,490,252 : x
  2. Step 2: Convert to fraction form
    9,700,104/14,490,252 = 14,490,252/x
  3. Step 3: Cross multiply
    9,700,104x = 14,490,252 × 14,490,252
  4. Step 4: Simplify right side
    9,700,104x = 209,967,403,023,504
  5. Step 5: Solve for x
    x = 209,967,403,023,504/9,700,104
  6. Step 6: Final answer
    x = 21,645,891.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.