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Finding the Third Proportional to 4,611,985,902,072 and 9,918,059,823,557

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Solution

The third proportional to 4,611,985,902,072 and 9,918,059,823,557 is: 21,328,753,546,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,985,902,072 : 9,918,059,823,557 = 9,918,059,823,557 : x
  2. Step 2: Convert to fraction form
    4,611,985,902,072/9,918,059,823,557 = 9,918,059,823,557/x
  3. Step 3: Cross multiply
    4,611,985,902,072x = 9,918,059,823,557 × 9,918,059,823,557
  4. Step 4: Simplify right side
    4,611,985,902,072x = 98,367,910,663,655,517,019,176,960
  5. Step 5: Solve for x
    x = 98,367,910,663,655,517,019,176,960/4,611,985,902,072
  6. Step 6: Final answer
    x = 21,328,753,546,159.44

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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.