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Finding the Third Proportional to 5,830,829 and 12,034,267

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Solution

The third proportional to 5,830,829 and 12,034,267 is: 24,837,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,829 : 12,034,267 = 12,034,267 : x
  2. Step 2: Convert to fraction form
    5,830,829/12,034,267 = 12,034,267/x
  3. Step 3: Cross multiply
    5,830,829x = 12,034,267 × 12,034,267
  4. Step 4: Simplify right side
    5,830,829x = 144,823,582,227,289
  5. Step 5: Solve for x
    x = 144,823,582,227,289/5,830,829
  6. Step 6: Final answer
    x = 24,837,562.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.