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Finding the Third Proportional to 15,916,444.31 and 34,101,896.06

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Solution

The third proportional to 15,916,444.31 and 34,101,896.06 is: 73,065,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916,444.31 : 34,101,896.06 = 34,101,896.06 : x
  2. Step 2: Convert to fraction form
    15,916,444.31/34,101,896.06 = 34,101,896.06/x
  3. Step 3: Cross multiply
    15,916,444.31x = 34,101,896.06 × 34,101,896.06
  4. Step 4: Simplify right side
    15,916,444.31x = 1,162,939,315,057,553
  5. Step 5: Solve for x
    x = 1,162,939,315,057,553/15,916,444.31
  6. Step 6: Final answer
    x = 73,065,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.