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Finding the Third Proportional to 34,491,315 and 54,106,708.50

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Solution

The third proportional to 34,491,315 and 54,106,708.50 is: 84,877,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491,315 : 54,106,708.50 = 54,106,708.50 : x
  2. Step 2: Convert to fraction form
    34,491,315/54,106,708.50 = 54,106,708.50/x
  3. Step 3: Cross multiply
    34,491,315x = 54,106,708.50 × 54,106,708.50
  4. Step 4: Simplify right side
    34,491,315x = 2,927,535,904,703,972
  5. Step 5: Solve for x
    x = 2,927,535,904,703,972/34,491,315
  6. Step 6: Final answer
    x = 84,877,480.16

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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.