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Finding the Third Proportional to 871,324,807,308 and 1,865,050,039,738.50

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Solution

The third proportional to 871,324,807,308 and 1,865,050,039,738.50 is: 3,992,095,280,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,324,807,308 : 1,865,050,039,738.50 = 1,865,050,039,738.50 : x
  2. Step 2: Convert to fraction form
    871,324,807,308/1,865,050,039,738.50 = 1,865,050,039,738.50/x
  3. Step 3: Cross multiply
    871,324,807,308x = 1,865,050,039,738.50 × 1,865,050,039,738.50
  4. Step 4: Simplify right side
    871,324,807,308x = 3,478,411,650,728,580,278,648,832
  5. Step 5: Solve for x
    x = 3,478,411,650,728,580,278,648,832/871,324,807,308
  6. Step 6: Final answer
    x = 3,992,095,280,146.22

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Why These Related Problems?

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