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Finding the Third Proportional to 5,684,594 and 12,179,556

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Solution

The third proportional to 5,684,594 and 12,179,556 is: 26,095,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,594 : 12,179,556 = 12,179,556 : x
  2. Step 2: Convert to fraction form
    5,684,594/12,179,556 = 12,179,556/x
  3. Step 3: Cross multiply
    5,684,594x = 12,179,556 × 12,179,556
  4. Step 4: Simplify right side
    5,684,594x = 148,341,584,357,136
  5. Step 5: Solve for x
    x = 148,341,584,357,136/5,684,594
  6. Step 6: Final answer
    x = 26,095,370.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.