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Finding the Third Proportional to 1,735,520,527.50 and 2,643,886,208

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Solution

The third proportional to 1,735,520,527.50 and 2,643,886,208 is: 4,027,687,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,520,527.50 : 2,643,886,208 = 2,643,886,208 : x
  2. Step 2: Convert to fraction form
    1,735,520,527.50/2,643,886,208 = 2,643,886,208/x
  3. Step 3: Cross multiply
    1,735,520,527.50x = 2,643,886,208 × 2,643,886,208
  4. Step 4: Simplify right side
    1,735,520,527.50x = 6,990,134,280,852,619,264
  5. Step 5: Solve for x
    x = 6,990,134,280,852,619,264/1,735,520,527.50
  6. Step 6: Final answer
    x = 4,027,687,469.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.