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Finding the Third Proportional to 24,538,353 and 53,166,209

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Solution

The third proportional to 24,538,353 and 53,166,209 is: 115,192,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538,353 : 53,166,209 = 53,166,209 : x
  2. Step 2: Convert to fraction form
    24,538,353/53,166,209 = 53,166,209/x
  3. Step 3: Cross multiply
    24,538,353x = 53,166,209 × 53,166,209
  4. Step 4: Simplify right side
    24,538,353x = 2,826,645,779,431,681
  5. Step 5: Solve for x
    x = 2,826,645,779,431,681/24,538,353
  6. Step 6: Final answer
    x = 115,192,970.75

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Why These Related Problems?

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