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Finding the Third Proportional to 24,779,844 and 53,146,813.50

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Solution

The third proportional to 24,779,844 and 53,146,813.50 is: 113,987,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779,844 : 53,146,813.50 = 53,146,813.50 : x
  2. Step 2: Convert to fraction form
    24,779,844/53,146,813.50 = 53,146,813.50/x
  3. Step 3: Cross multiply
    24,779,844x = 53,146,813.50 × 53,146,813.50
  4. Step 4: Simplify right side
    24,779,844x = 2,824,583,785,203,782
  5. Step 5: Solve for x
    x = 2,824,583,785,203,782/24,779,844
  6. Step 6: Final answer
    x = 113,987,149.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.