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Finding the Third Proportional to 10,543,491 and 23,020,290

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Solution

The third proportional to 10,543,491 and 23,020,290 is: 50,261,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543,491 : 23,020,290 = 23,020,290 : x
  2. Step 2: Convert to fraction form
    10,543,491/23,020,290 = 23,020,290/x
  3. Step 3: Cross multiply
    10,543,491x = 23,020,290 × 23,020,290
  4. Step 4: Simplify right side
    10,543,491x = 529,933,751,684,100
  5. Step 5: Solve for x
    x = 529,933,751,684,100/10,543,491
  6. Step 6: Final answer
    x = 50,261,697.16

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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.