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Finding the Third Proportional to 25,831,529,305 and 40,433,398,536

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Solution

The third proportional to 25,831,529,305 and 40,433,398,536 is: 63,289,311,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831,529,305 : 40,433,398,536 = 40,433,398,536 : x
  2. Step 2: Convert to fraction form
    25,831,529,305/40,433,398,536 = 40,433,398,536/x
  3. Step 3: Cross multiply
    25,831,529,305x = 40,433,398,536 × 40,433,398,536
  4. Step 4: Simplify right side
    25,831,529,305x = 1,634,859,717,171,006,930,944
  5. Step 5: Solve for x
    x = 1,634,859,717,171,006,930,944/25,831,529,305
  6. Step 6: Final answer
    x = 63,289,311,982.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.