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Finding the Third Proportional to 383,856,316 and 828,877,496

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Solution

The third proportional to 383,856,316 and 828,877,496 is: 1,789,830,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856,316 : 828,877,496 = 828,877,496 : x
  2. Step 2: Convert to fraction form
    383,856,316/828,877,496 = 828,877,496/x
  3. Step 3: Cross multiply
    383,856,316x = 828,877,496 × 828,877,496
  4. Step 4: Simplify right side
    383,856,316x = 687,037,903,375,229,952
  5. Step 5: Solve for x
    x = 687,037,903,375,229,952/383,856,316
  6. Step 6: Final answer
    x = 1,789,830,920.42

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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.