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Finding the Third Proportional to 288,623,245 and 630,170,383

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Solution

The third proportional to 288,623,245 and 630,170,383 is: 1,375,893,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,623,245 : 630,170,383 = 630,170,383 : x
  2. Step 2: Convert to fraction form
    288,623,245/630,170,383 = 630,170,383/x
  3. Step 3: Cross multiply
    288,623,245x = 630,170,383 × 630,170,383
  4. Step 4: Simplify right side
    288,623,245x = 397,114,711,610,366,720
  5. Step 5: Solve for x
    x = 397,114,711,610,366,720/288,623,245
  6. Step 6: Final answer
    x = 1,375,893,031.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.