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Finding the Third Proportional to 4,611,985,902,324 and 9,918,059,824,620

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Solution

The third proportional to 4,611,985,902,324 and 9,918,059,824,620 is: 21,328,753,549,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,985,902,324 : 9,918,059,824,620 = 9,918,059,824,620 : x
  2. Step 2: Convert to fraction form
    4,611,985,902,324/9,918,059,824,620 = 9,918,059,824,620/x
  3. Step 3: Cross multiply
    4,611,985,902,324x = 9,918,059,824,620 × 9,918,059,824,620
  4. Step 4: Simplify right side
    4,611,985,902,324x = 98,367,910,684,741,298,181,636,096
  5. Step 5: Solve for x
    x = 98,367,910,684,741,298,181,636,096/4,611,985,902,324
  6. Step 6: Final answer
    x = 21,328,753,549,565.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.