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Finding the Third Proportional to 24,024,242 and 51,827,602

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Solution

The third proportional to 24,024,242 and 51,827,602 is: 111,807,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024,242 : 51,827,602 = 51,827,602 : x
  2. Step 2: Convert to fraction form
    24,024,242/51,827,602 = 51,827,602/x
  3. Step 3: Cross multiply
    24,024,242x = 51,827,602 × 51,827,602
  4. Step 4: Simplify right side
    24,024,242x = 2,686,100,329,070,404
  5. Step 5: Solve for x
    x = 2,686,100,329,070,404/24,024,242
  6. Step 6: Final answer
    x = 111,807,911.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.