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Finding the Third Proportional to 383,856,318 and 828,877,500

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Solution

The third proportional to 383,856,318 and 828,877,500 is: 1,789,830,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856,318 : 828,877,500 = 828,877,500 : x
  2. Step 2: Convert to fraction form
    383,856,318/828,877,500 = 828,877,500/x
  3. Step 3: Cross multiply
    383,856,318x = 828,877,500 × 828,877,500
  4. Step 4: Simplify right side
    383,856,318x = 687,037,910,006,249,984
  5. Step 5: Solve for x
    x = 687,037,910,006,249,984/383,856,318
  6. Step 6: Final answer
    x = 1,789,830,928.37

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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.