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Finding the Third Proportional to 16,922,214 and 25,779,897

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Solution

The third proportional to 16,922,214 and 25,779,897 is: 39,274,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922,214 : 25,779,897 = 25,779,897 : x
  2. Step 2: Convert to fraction form
    16,922,214/25,779,897 = 25,779,897/x
  3. Step 3: Cross multiply
    16,922,214x = 25,779,897 × 25,779,897
  4. Step 4: Simplify right side
    16,922,214x = 664,603,089,330,609
  5. Step 5: Solve for x
    x = 664,603,089,330,609/16,922,214
  6. Step 6: Final answer
    x = 39,274,003.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.