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Finding the Third Proportional to 31,432,953 and 68,709,299

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Solution

The third proportional to 31,432,953 and 68,709,299 is: 150,191,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432,953 : 68,709,299 = 68,709,299 : x
  2. Step 2: Convert to fraction form
    31,432,953/68,709,299 = 68,709,299/x
  3. Step 3: Cross multiply
    31,432,953x = 68,709,299 × 68,709,299
  4. Step 4: Simplify right side
    31,432,953x = 4,720,967,769,071,401
  5. Step 5: Solve for x
    x = 4,720,967,769,071,401/31,432,953
  6. Step 6: Final answer
    x = 150,191,672.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.