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Finding the Third Proportional to 4,573,254.94 and 6,733,535.06

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Solution

The third proportional to 4,573,254.94 and 6,733,535.06 is: 9,914,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573,254.94 : 6,733,535.06 = 6,733,535.06 : x
  2. Step 2: Convert to fraction form
    4,573,254.94/6,733,535.06 = 6,733,535.06/x
  3. Step 3: Cross multiply
    4,573,254.94x = 6,733,535.06 × 6,733,535.06
  4. Step 4: Simplify right side
    4,573,254.94x = 45,340,494,437,916.88
  5. Step 5: Solve for x
    x = 45,340,494,437,916.88/4,573,254.94
  6. Step 6: Final answer
    x = 9,914,272.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.