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Finding the Third Proportional to 7,556,196 and 16,306,464

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Solution

The third proportional to 7,556,196 and 16,306,464 is: 35,189,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556,196 : 16,306,464 = 16,306,464 : x
  2. Step 2: Convert to fraction form
    7,556,196/16,306,464 = 16,306,464/x
  3. Step 3: Cross multiply
    7,556,196x = 16,306,464 × 16,306,464
  4. Step 4: Simplify right side
    7,556,196x = 265,900,768,183,296
  5. Step 5: Solve for x
    x = 265,900,768,183,296/7,556,196
  6. Step 6: Final answer
    x = 35,189,765.88

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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.