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Finding the Third Proportional to 10,628,825.70 and 23,316,983.37

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Solution

The third proportional to 10,628,825.70 and 23,316,983.37 is: 51,151,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628,825.70 : 23,316,983.37 = 23,316,983.37 : x
  2. Step 2: Convert to fraction form
    10,628,825.70/23,316,983.37 = 23,316,983.37/x
  3. Step 3: Cross multiply
    10,628,825.70x = 23,316,983.37 × 23,316,983.37
  4. Step 4: Simplify right side
    10,628,825.70x = 543,681,713,345,721.81
  5. Step 5: Solve for x
    x = 543,681,713,345,721.81/10,628,825.70
  6. Step 6: Final answer
    x = 51,151,625.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.