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Finding the Third Proportional to 9,577,266 and 14,465,313

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Solution

The third proportional to 9,577,266 and 14,465,313 is: 21,848,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,266 : 14,465,313 = 14,465,313 : x
  2. Step 2: Convert to fraction form
    9,577,266/14,465,313 = 14,465,313/x
  3. Step 3: Cross multiply
    9,577,266x = 14,465,313 × 14,465,313
  4. Step 4: Simplify right side
    9,577,266x = 209,245,280,187,969
  5. Step 5: Solve for x
    x = 209,245,280,187,969/9,577,266
  6. Step 6: Final answer
    x = 21,848,122.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.