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Finding the Third Proportional to 24,573,577,969,408 and 53,473,095,566,067

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Solution

The third proportional to 24,573,577,969,408 and 53,473,095,566,067 is: 116,359,610,024,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573,577,969,408 : 53,473,095,566,067 = 53,473,095,566,067 : x
  2. Step 2: Convert to fraction form
    24,573,577,969,408/53,473,095,566,067 = 53,473,095,566,067/x
  3. Step 3: Cross multiply
    24,573,577,969,408x = 53,473,095,566,067 × 53,473,095,566,067
  4. Step 4: Simplify right side
    24,573,577,969,408x = 2,859,371,949,417,734,076,048,080,896
  5. Step 5: Solve for x
    x = 2,859,371,949,417,734,076,048,080,896/24,573,577,969,408
  6. Step 6: Final answer
    x = 116,359,610,024,124.58

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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.