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Finding the Third Proportional to 10,145,762.56 and 21,728,073.63

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Solution

The third proportional to 10,145,762.56 and 21,728,073.63 is: 46,532,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145,762.56 : 21,728,073.63 = 21,728,073.63 : x
  2. Step 2: Convert to fraction form
    10,145,762.56/21,728,073.63 = 21,728,073.63/x
  3. Step 3: Cross multiply
    10,145,762.56x = 21,728,073.63 × 21,728,073.63
  4. Step 4: Simplify right side
    10,145,762.56x = 472,109,183,453,420.62
  5. Step 5: Solve for x
    x = 472,109,183,453,420.62/10,145,762.56
  6. Step 6: Final answer
    x = 46,532,646.57

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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.