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Finding the Third Proportional to 465,671,427 and 715,770,350

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Solution

The third proportional to 465,671,427 and 715,770,350 is: 1,100,190,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,671,427 : 715,770,350 = 715,770,350 : x
  2. Step 2: Convert to fraction form
    465,671,427/715,770,350 = 715,770,350/x
  3. Step 3: Cross multiply
    465,671,427x = 715,770,350 × 715,770,350
  4. Step 4: Simplify right side
    465,671,427x = 512,327,193,939,122,496
  5. Step 5: Solve for x
    x = 512,327,193,939,122,496/465,671,427
  6. Step 6: Final answer
    x = 1,100,190,314.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.