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Finding the Third Proportional to 24,678,219,956 and 37,595,561,070

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Solution

The third proportional to 24,678,219,956 and 37,595,561,070 is: 57,274,236,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678,219,956 : 37,595,561,070 = 37,595,561,070 : x
  2. Step 2: Convert to fraction form
    24,678,219,956/37,595,561,070 = 37,595,561,070/x
  3. Step 3: Cross multiply
    24,678,219,956x = 37,595,561,070 × 37,595,561,070
  4. Step 4: Simplify right side
    24,678,219,956x = 1,413,426,212,168,099,430,400
  5. Step 5: Solve for x
    x = 1,413,426,212,168,099,430,400/24,678,219,956
  6. Step 6: Final answer
    x = 57,274,236,743.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.