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Finding the Third Proportional to 24,973,608,672 and 35,895,841,200

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Solution

The third proportional to 24,973,608,672 and 35,895,841,200 is: 51,594,922,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973,608,672 : 35,895,841,200 = 35,895,841,200 : x
  2. Step 2: Convert to fraction form
    24,973,608,672/35,895,841,200 = 35,895,841,200/x
  3. Step 3: Cross multiply
    24,973,608,672x = 35,895,841,200 × 35,895,841,200
  4. Step 4: Simplify right side
    24,973,608,672x = 1,288,511,415,455,617,384,448
  5. Step 5: Solve for x
    x = 1,288,511,415,455,617,384,448/24,973,608,672
  6. Step 6: Final answer
    x = 51,594,922,959.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.