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Finding the Third Proportional to 377,110,726 and 581,807,794

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Solution

The third proportional to 377,110,726 and 581,807,794 is: 897,615,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,110,726 : 581,807,794 = 581,807,794 : x
  2. Step 2: Convert to fraction form
    377,110,726/581,807,794 = 581,807,794/x
  3. Step 3: Cross multiply
    377,110,726x = 581,807,794 × 581,807,794
  4. Step 4: Simplify right side
    377,110,726x = 338,500,309,159,146,432
  5. Step 5: Solve for x
    x = 338,500,309,159,146,432/377,110,726
  6. Step 6: Final answer
    x = 897,615,171.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.