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Finding the Third Proportional to 5,264,512,020 and 11,435,270,148

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Solution

The third proportional to 5,264,512,020 and 11,435,270,148 is: 24,839,035,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264,512,020 : 11,435,270,148 = 11,435,270,148 : x
  2. Step 2: Convert to fraction form
    5,264,512,020/11,435,270,148 = 11,435,270,148/x
  3. Step 3: Cross multiply
    5,264,512,020x = 11,435,270,148 × 11,435,270,148
  4. Step 4: Simplify right side
    5,264,512,020x = 130,765,403,357,739,941,888
  5. Step 5: Solve for x
    x = 130,765,403,357,739,941,888/5,264,512,020
  6. Step 6: Final answer
    x = 24,839,035,956.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.