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Finding the Third Proportional to 226,434,490 and 493,860,062

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Solution

The third proportional to 226,434,490 and 493,860,062 is: 1,077,122,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,434,490 : 493,860,062 = 493,860,062 : x
  2. Step 2: Convert to fraction form
    226,434,490/493,860,062 = 493,860,062/x
  3. Step 3: Cross multiply
    226,434,490x = 493,860,062 × 493,860,062
  4. Step 4: Simplify right side
    226,434,490x = 243,897,760,838,643,840
  5. Step 5: Solve for x
    x = 243,897,760,838,643,840/226,434,490
  6. Step 6: Final answer
    x = 1,077,122,839.54

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