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Finding the Third Proportional to 10,902,924,650,210 and 23,546,674,474,884

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Solution

The third proportional to 10,902,924,650,210 and 23,546,674,474,884 is: 50,852,949,700,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902,924,650,210 : 23,546,674,474,884 = 23,546,674,474,884 : x
  2. Step 2: Convert to fraction form
    10,902,924,650,210/23,546,674,474,884 = 23,546,674,474,884/x
  3. Step 3: Cross multiply
    10,902,924,650,210x = 23,546,674,474,884 × 23,546,674,474,884
  4. Step 4: Simplify right side
    10,902,924,650,210x = 554,445,878,826,153,681,855,971,328
  5. Step 5: Solve for x
    x = 554,445,878,826,153,681,855,971,328/10,902,924,650,210
  6. Step 6: Final answer
    x = 50,852,949,700,562.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.