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Finding the Third Proportional to 871,546,502 and 1,867,430,380

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Solution

The third proportional to 871,546,502 and 1,867,430,380 is: 4,001,273,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,546,502 : 1,867,430,380 = 1,867,430,380 : x
  2. Step 2: Convert to fraction form
    871,546,502/1,867,430,380 = 1,867,430,380/x
  3. Step 3: Cross multiply
    871,546,502x = 1,867,430,380 × 1,867,430,380
  4. Step 4: Simplify right side
    871,546,502x = 3,487,296,224,146,944,512
  5. Step 5: Solve for x
    x = 3,487,296,224,146,944,512/871,546,502
  6. Step 6: Final answer
    x = 4,001,273,846.14

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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.