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Finding the Third Proportional to 862,743,205.69 and 1,886,911,341.75

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Solution

The third proportional to 862,743,205.69 and 1,886,911,341.75 is: 4,126,876,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,743,205.69 : 1,886,911,341.75 = 1,886,911,341.75 : x
  2. Step 2: Convert to fraction form
    862,743,205.69/1,886,911,341.75 = 1,886,911,341.75/x
  3. Step 3: Cross multiply
    862,743,205.69x = 1,886,911,341.75 × 1,886,911,341.75
  4. Step 4: Simplify right side
    862,743,205.69x = 3,560,434,411,624,785,408
  5. Step 5: Solve for x
    x = 3,560,434,411,624,785,408/862,743,205.69
  6. Step 6: Final answer
    x = 4,126,876,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.