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Finding the Third Proportional to 1,660,886,500 and 2,335,925,742

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Solution

The third proportional to 1,660,886,500 and 2,335,925,742 is: 3,285,323,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,886,500 : 2,335,925,742 = 2,335,925,742 : x
  2. Step 2: Convert to fraction form
    1,660,886,500/2,335,925,742 = 2,335,925,742/x
  3. Step 3: Cross multiply
    1,660,886,500x = 2,335,925,742 × 2,335,925,742
  4. Step 4: Simplify right side
    1,660,886,500x = 5,456,549,072,138,250,240
  5. Step 5: Solve for x
    x = 5,456,549,072,138,250,240/1,660,886,500
  6. Step 6: Final answer
    x = 3,285,323,272.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.