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Finding the Third Proportional to 10,825,592 and 22,546,798

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Solution

The third proportional to 10,825,592 and 22,546,798 is: 46,958,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,592 : 22,546,798 = 22,546,798 : x
  2. Step 2: Convert to fraction form
    10,825,592/22,546,798 = 22,546,798/x
  3. Step 3: Cross multiply
    10,825,592x = 22,546,798 × 22,546,798
  4. Step 4: Simplify right side
    10,825,592x = 508,358,100,052,804
  5. Step 5: Solve for x
    x = 508,358,100,052,804/10,825,592
  6. Step 6: Final answer
    x = 46,958,919.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.