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Finding the Third Proportional to 10,235,555,820 and 15,725,800,260

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Solution

The third proportional to 10,235,555,820 and 15,725,800,260 is: 24,160,954,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,555,820 : 15,725,800,260 = 15,725,800,260 : x
  2. Step 2: Convert to fraction form
    10,235,555,820/15,725,800,260 = 15,725,800,260/x
  3. Step 3: Cross multiply
    10,235,555,820x = 15,725,800,260 × 15,725,800,260
  4. Step 4: Simplify right side
    10,235,555,820x = 247,300,793,817,416,073,216
  5. Step 5: Solve for x
    x = 247,300,793,817,416,073,216/10,235,555,820
  6. Step 6: Final answer
    x = 24,160,954,047.48

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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.