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Finding the Third Proportional to 10,825,575 and 22,546,767

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Solution

The third proportional to 10,825,575 and 22,546,767 is: 46,958,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,575 : 22,546,767 = 22,546,767 : x
  2. Step 2: Convert to fraction form
    10,825,575/22,546,767 = 22,546,767/x
  3. Step 3: Cross multiply
    10,825,575x = 22,546,767 × 22,546,767
  4. Step 4: Simplify right side
    10,825,575x = 508,356,702,152,289
  5. Step 5: Solve for x
    x = 508,356,702,152,289/10,825,575
  6. Step 6: Final answer
    x = 46,958,863.82

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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.