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Finding the Third Proportional to 254,288,652 and 549,222,456

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Solution

The third proportional to 254,288,652 and 549,222,456 is: 1,186,231,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,288,652 : 549,222,456 = 549,222,456 : x
  2. Step 2: Convert to fraction form
    254,288,652/549,222,456 = 549,222,456/x
  3. Step 3: Cross multiply
    254,288,652x = 549,222,456 × 549,222,456
  4. Step 4: Simplify right side
    254,288,652x = 301,645,306,174,671,936
  5. Step 5: Solve for x
    x = 301,645,306,174,671,936/254,288,652
  6. Step 6: Final answer
    x = 1,186,231,881.77

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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.