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Finding the Third Proportional to 5,921,213 and 12,307,834

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Solution

The third proportional to 5,921,213 and 12,307,834 is: 25,583,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,213 : 12,307,834 = 12,307,834 : x
  2. Step 2: Convert to fraction form
    5,921,213/12,307,834 = 12,307,834/x
  3. Step 3: Cross multiply
    5,921,213x = 12,307,834 × 12,307,834
  4. Step 4: Simplify right side
    5,921,213x = 151,482,777,771,556
  5. Step 5: Solve for x
    x = 151,482,777,771,556/5,921,213
  6. Step 6: Final answer
    x = 25,583,065.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.