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Finding the Third Proportional to 353,847,640.50 and 553,873,176

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Solution

The third proportional to 353,847,640.50 and 553,873,176 is: 866,970,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,847,640.50 : 553,873,176 = 553,873,176 : x
  2. Step 2: Convert to fraction form
    353,847,640.50/553,873,176 = 553,873,176/x
  3. Step 3: Cross multiply
    353,847,640.50x = 553,873,176 × 553,873,176
  4. Step 4: Simplify right side
    353,847,640.50x = 306,775,495,092,326,976
  5. Step 5: Solve for x
    x = 306,775,495,092,326,976/353,847,640.50
  6. Step 6: Final answer
    x = 866,970,582.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.