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Finding the Third Proportional to 5,859,234 and 12,835,590

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Solution

The third proportional to 5,859,234 and 12,835,590 is: 28,118,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859,234 : 12,835,590 = 12,835,590 : x
  2. Step 2: Convert to fraction form
    5,859,234/12,835,590 = 12,835,590/x
  3. Step 3: Cross multiply
    5,859,234x = 12,835,590 × 12,835,590
  4. Step 4: Simplify right side
    5,859,234x = 164,752,370,648,100
  5. Step 5: Solve for x
    x = 164,752,370,648,100/5,859,234
  6. Step 6: Final answer
    x = 28,118,414.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.