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Finding the Third Proportional to 9,829,533.66 and 21,384,812.81

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Solution

The third proportional to 9,829,533.66 and 21,384,812.81 is: 46,524,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,533.66 : 21,384,812.81 = 21,384,812.81 : x
  2. Step 2: Convert to fraction form
    9,829,533.66/21,384,812.81 = 21,384,812.81/x
  3. Step 3: Cross multiply
    9,829,533.66x = 21,384,812.81 × 21,384,812.81
  4. Step 4: Simplify right side
    9,829,533.66x = 457,310,219,025,664.19
  5. Step 5: Solve for x
    x = 457,310,219,025,664.19/9,829,533.66
  6. Step 6: Final answer
    x = 46,524,101.25

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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.