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Finding the Third Proportional to 1,072,695,890 and 1,640,233,371

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Solution

The third proportional to 1,072,695,890 and 1,640,233,371 is: 2,508,041,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,695,890 : 1,640,233,371 = 1,640,233,371 : x
  2. Step 2: Convert to fraction form
    1,072,695,890/1,640,233,371 = 1,640,233,371/x
  3. Step 3: Cross multiply
    1,072,695,890x = 1,640,233,371 × 1,640,233,371
  4. Step 4: Simplify right side
    1,072,695,890x = 2,690,365,511,342,023,680
  5. Step 5: Solve for x
    x = 2,690,365,511,342,023,680/1,072,695,890
  6. Step 6: Final answer
    x = 2,508,041,222.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.