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Finding the Third Proportional to 279,656,128 and 570,415,232

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Solution

The third proportional to 279,656,128 and 570,415,232 is: 1,163,477,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,656,128 : 570,415,232 = 570,415,232 : x
  2. Step 2: Convert to fraction form
    279,656,128/570,415,232 = 570,415,232/x
  3. Step 3: Cross multiply
    279,656,128x = 570,415,232 × 570,415,232
  4. Step 4: Simplify right side
    279,656,128x = 325,373,536,897,613,824
  5. Step 5: Solve for x
    x = 325,373,536,897,613,824/279,656,128
  6. Step 6: Final answer
    x = 1,163,477,229.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.