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Finding the Third Proportional to 427,486,360 and 933,678,464

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Solution

The third proportional to 427,486,360 and 933,678,464 is: 2,039,259,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,486,360 : 933,678,464 = 933,678,464 : x
  2. Step 2: Convert to fraction form
    427,486,360/933,678,464 = 933,678,464/x
  3. Step 3: Cross multiply
    427,486,360x = 933,678,464 × 933,678,464
  4. Step 4: Simplify right side
    427,486,360x = 871,755,474,137,399,296
  5. Step 5: Solve for x
    x = 871,755,474,137,399,296/427,486,360
  6. Step 6: Final answer
    x = 2,039,259,157.03

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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.