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Finding the Third Proportional to 465,835,262 and 997,109,308

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Solution

The third proportional to 465,835,262 and 997,109,308 is: 2,134,288,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,835,262 : 997,109,308 = 997,109,308 : x
  2. Step 2: Convert to fraction form
    465,835,262/997,109,308 = 997,109,308/x
  3. Step 3: Cross multiply
    465,835,262x = 997,109,308 × 997,109,308
  4. Step 4: Simplify right side
    465,835,262x = 994,226,972,100,238,848
  5. Step 5: Solve for x
    x = 994,226,972,100,238,848/465,835,262
  6. Step 6: Final answer
    x = 2,134,288,778.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.