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Finding the Third Proportional to 24,532,577,048 and 53,363,515,454

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Solution

The third proportional to 24,532,577,048 and 53,363,515,454 is: 116,076,871,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532,577,048 : 53,363,515,454 = 53,363,515,454 : x
  2. Step 2: Convert to fraction form
    24,532,577,048/53,363,515,454 = 53,363,515,454/x
  3. Step 3: Cross multiply
    24,532,577,048x = 53,363,515,454 × 53,363,515,454
  4. Step 4: Simplify right side
    24,532,577,048x = 2,847,664,781,609,296,986,112
  5. Step 5: Solve for x
    x = 2,847,664,781,609,296,986,112/24,532,577,048
  6. Step 6: Final answer
    x = 116,076,871,012.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.