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Finding the Third Proportional to 254,288,654 and 549,222,460

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Solution

The third proportional to 254,288,654 and 549,222,460 is: 1,186,231,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,288,654 : 549,222,460 = 549,222,460 : x
  2. Step 2: Convert to fraction form
    254,288,654/549,222,460 = 549,222,460/x
  3. Step 3: Cross multiply
    254,288,654x = 549,222,460 × 549,222,460
  4. Step 4: Simplify right side
    254,288,654x = 301,645,310,568,451,584
  5. Step 5: Solve for x
    x = 301,645,310,568,451,584/254,288,654
  6. Step 6: Final answer
    x = 1,186,231,889.72

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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.