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Finding the Third Proportional to 24,678,219,951 and 37,595,561,062.50

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Solution

The third proportional to 24,678,219,951 and 37,595,561,062.50 is: 57,274,236,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678,219,951 : 37,595,561,062.50 = 37,595,561,062.50 : x
  2. Step 2: Convert to fraction form
    24,678,219,951/37,595,561,062.50 = 37,595,561,062.50/x
  3. Step 3: Cross multiply
    24,678,219,951x = 37,595,561,062.50 × 37,595,561,062.50
  4. Step 4: Simplify right side
    24,678,219,951x = 1,413,426,211,604,166,082,560
  5. Step 5: Solve for x
    x = 1,413,426,211,604,166,082,560/24,678,219,951
  6. Step 6: Final answer
    x = 57,274,236,732.25

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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.