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Finding the Third Proportional to 24,561,775,666 and 37,729,892,284

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Solution

The third proportional to 24,561,775,666 and 37,729,892,284 is: 57,957,730,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561,775,666 : 37,729,892,284 = 37,729,892,284 : x
  2. Step 2: Convert to fraction form
    24,561,775,666/37,729,892,284 = 37,729,892,284/x
  3. Step 3: Cross multiply
    24,561,775,666x = 37,729,892,284 × 37,729,892,284
  4. Step 4: Simplify right side
    24,561,775,666x = 1,423,544,771,762,242,715,648
  5. Step 5: Solve for x
    x = 1,423,544,771,762,242,715,648/24,561,775,666
  6. Step 6: Final answer
    x = 57,957,730,382.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.