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Finding the Third Proportional to 5,416,308 and 11,685,758.63

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Solution

The third proportional to 5,416,308 and 11,685,758.63 is: 25,212,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,308 : 11,685,758.63 = 11,685,758.63 : x
  2. Step 2: Convert to fraction form
    5,416,308/11,685,758.63 = 11,685,758.63/x
  3. Step 3: Cross multiply
    5,416,308x = 11,685,758.63 × 11,685,758.63
  4. Step 4: Simplify right side
    5,416,308x = 136,556,954,641,761.89
  5. Step 5: Solve for x
    x = 136,556,954,641,761.89/5,416,308
  6. Step 6: Final answer
    x = 25,212,184.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.