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Finding the Third Proportional to 807,655,305 and 1,756,819,231

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Solution

The third proportional to 807,655,305 and 1,756,819,231 is: 3,821,449,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,655,305 : 1,756,819,231 = 1,756,819,231 : x
  2. Step 2: Convert to fraction form
    807,655,305/1,756,819,231 = 1,756,819,231/x
  3. Step 3: Cross multiply
    807,655,305x = 1,756,819,231 × 1,756,819,231
  4. Step 4: Simplify right side
    807,655,305x = 3,086,413,810,411,431,424
  5. Step 5: Solve for x
    x = 3,086,413,810,411,431,424/807,655,305
  6. Step 6: Final answer
    x = 3,821,449,312.97

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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.