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Finding the Third Proportional to 34,438,824,021.50 and 53,471,432,481

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Solution

The third proportional to 34,438,824,021.50 and 53,471,432,481 is: 83,022,407,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438,824,021.50 : 53,471,432,481 = 53,471,432,481 : x
  2. Step 2: Convert to fraction form
    34,438,824,021.50/53,471,432,481 = 53,471,432,481/x
  3. Step 3: Cross multiply
    34,438,824,021.50x = 53,471,432,481 × 53,471,432,481
  4. Step 4: Simplify right side
    34,438,824,021.50x = 2,859,194,091,570,141,855,744
  5. Step 5: Solve for x
    x = 2,859,194,091,570,141,855,744/34,438,824,021.50
  6. Step 6: Final answer
    x = 83,022,407,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.