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Finding the Third Proportional to 9,696,787 and 14,461,093

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Solution

The third proportional to 9,696,787 and 14,461,093 is: 21,566,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696,787 : 14,461,093 = 14,461,093 : x
  2. Step 2: Convert to fraction form
    9,696,787/14,461,093 = 14,461,093/x
  3. Step 3: Cross multiply
    9,696,787x = 14,461,093 × 14,461,093
  4. Step 4: Simplify right side
    9,696,787x = 209,123,210,754,649
  5. Step 5: Solve for x
    x = 209,123,210,754,649/9,696,787
  6. Step 6: Final answer
    x = 21,566,237.43

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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.