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Finding the Third Proportional to 7,602,723 and 16,543,944

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Solution

The third proportional to 7,602,723 and 16,543,944 is: 36,000,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602,723 : 16,543,944 = 16,543,944 : x
  2. Step 2: Convert to fraction form
    7,602,723/16,543,944 = 16,543,944/x
  3. Step 3: Cross multiply
    7,602,723x = 16,543,944 × 16,543,944
  4. Step 4: Simplify right side
    7,602,723x = 273,702,083,075,136
  5. Step 5: Solve for x
    x = 273,702,083,075,136/7,602,723
  6. Step 6: Final answer
    x = 36,000,533.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.