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Finding the Third Proportional to 665,738,932 and 1,447,353,284

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Solution

The third proportional to 665,738,932 and 1,447,353,284 is: 3,146,626,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,738,932 : 1,447,353,284 = 1,447,353,284 : x
  2. Step 2: Convert to fraction form
    665,738,932/1,447,353,284 = 1,447,353,284/x
  3. Step 3: Cross multiply
    665,738,932x = 1,447,353,284 × 1,447,353,284
  4. Step 4: Simplify right side
    665,738,932x = 2,094,831,528,705,584,640
  5. Step 5: Solve for x
    x = 2,094,831,528,705,584,640/665,738,932
  6. Step 6: Final answer
    x = 3,146,626,144.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.