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Finding the Third Proportional to 7,696,897 and 16,614,140

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Solution

The third proportional to 7,696,897 and 16,614,140 is: 35,862,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,897 : 16,614,140 = 16,614,140 : x
  2. Step 2: Convert to fraction form
    7,696,897/16,614,140 = 16,614,140/x
  3. Step 3: Cross multiply
    7,696,897x = 16,614,140 × 16,614,140
  4. Step 4: Simplify right side
    7,696,897x = 276,029,647,939,600
  5. Step 5: Solve for x
    x = 276,029,647,939,600/7,696,897
  6. Step 6: Final answer
    x = 35,862,458.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.