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Finding the Third Proportional to 10,422,050.06 and 22,638,210.75

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Solution

The third proportional to 10,422,050.06 and 22,638,210.75 is: 49,173,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,050.06 : 22,638,210.75 = 22,638,210.75 : x
  2. Step 2: Convert to fraction form
    10,422,050.06/22,638,210.75 = 22,638,210.75/x
  3. Step 3: Cross multiply
    10,422,050.06x = 22,638,210.75 × 22,638,210.75
  4. Step 4: Simplify right side
    10,422,050.06x = 512,488,585,961,415.56
  5. Step 5: Solve for x
    x = 512,488,585,961,415.56/10,422,050.06
  6. Step 6: Final answer
    x = 49,173,491.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.