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Finding the Third Proportional to 6,348,942 and 9,537,897

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Solution

The third proportional to 6,348,942 and 9,537,897 is: 14,328,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348,942 : 9,537,897 = 9,537,897 : x
  2. Step 2: Convert to fraction form
    6,348,942/9,537,897 = 9,537,897/x
  3. Step 3: Cross multiply
    6,348,942x = 9,537,897 × 9,537,897
  4. Step 4: Simplify right side
    6,348,942x = 90,971,479,182,609
  5. Step 5: Solve for x
    x = 90,971,479,182,609/6,348,942
  6. Step 6: Final answer
    x = 14,328,604.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.