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Finding the Third Proportional to 837,030,864 and 1,378,258,869

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Solution

The third proportional to 837,030,864 and 1,378,258,869 is: 2,269,447,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,030,864 : 1,378,258,869 = 1,378,258,869 : x
  2. Step 2: Convert to fraction form
    837,030,864/1,378,258,869 = 1,378,258,869/x
  3. Step 3: Cross multiply
    837,030,864x = 1,378,258,869 × 1,378,258,869
  4. Step 4: Simplify right side
    837,030,864x = 1,899,597,509,977,159,168
  5. Step 5: Solve for x
    x = 1,899,597,509,977,159,168/837,030,864
  6. Step 6: Final answer
    x = 2,269,447,390.39

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.