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Finding the Third Proportional to 383,854,806 and 828,875,110.50

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Solution

The third proportional to 383,854,806 and 828,875,110.50 is: 1,789,827,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854,806 : 828,875,110.50 = 828,875,110.50 : x
  2. Step 2: Convert to fraction form
    383,854,806/828,875,110.50 = 828,875,110.50/x
  3. Step 3: Cross multiply
    383,854,806x = 828,875,110.50 × 828,875,110.50
  4. Step 4: Simplify right side
    383,854,806x = 687,033,948,806,387,200
  5. Step 5: Solve for x
    x = 687,033,948,806,387,200/383,854,806
  6. Step 6: Final answer
    x = 1,789,827,658.97

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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.