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Finding the Third Proportional to 24,561,775,661 and 37,729,892,276.50

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Solution

The third proportional to 24,561,775,661 and 37,729,892,276.50 is: 57,957,730,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561,775,661 : 37,729,892,276.50 = 37,729,892,276.50 : x
  2. Step 2: Convert to fraction form
    24,561,775,661/37,729,892,276.50 = 37,729,892,276.50/x
  3. Step 3: Cross multiply
    24,561,775,661x = 37,729,892,276.50 × 37,729,892,276.50
  4. Step 4: Simplify right side
    24,561,775,661x = 1,423,544,771,196,294,266,880
  5. Step 5: Solve for x
    x = 1,423,544,771,196,294,266,880/24,561,775,661
  6. Step 6: Final answer
    x = 57,957,730,371.12

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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.