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Finding the Third Proportional to 241,447,678 and 523,006,778

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Solution

The third proportional to 241,447,678 and 523,006,778 is: 1,132,900,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,447,678 : 523,006,778 = 523,006,778 : x
  2. Step 2: Convert to fraction form
    241,447,678/523,006,778 = 523,006,778/x
  3. Step 3: Cross multiply
    241,447,678x = 523,006,778 × 523,006,778
  4. Step 4: Simplify right side
    241,447,678x = 273,536,089,833,941,280
  5. Step 5: Solve for x
    x = 273,536,089,833,941,280/241,447,678
  6. Step 6: Final answer
    x = 1,132,900,063.90

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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.