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Finding the Third Proportional to 478,825,654.50 and 1,031,492,076.75

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Solution

The third proportional to 478,825,654.50 and 1,031,492,076.75 is: 2,222,052,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,825,654.50 : 1,031,492,076.75 = 1,031,492,076.75 : x
  2. Step 2: Convert to fraction form
    478,825,654.50/1,031,492,076.75 = 1,031,492,076.75/x
  3. Step 3: Cross multiply
    478,825,654.50x = 1,031,492,076.75 × 1,031,492,076.75
  4. Step 4: Simplify right side
    478,825,654.50x = 1,063,975,904,398,027,904
  5. Step 5: Solve for x
    x = 1,063,975,904,398,027,904/478,825,654.50
  6. Step 6: Final answer
    x = 2,222,052,837.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.