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Finding the Third Proportional to 4,020,861,036 and 6,200,865,476

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Solution

The third proportional to 4,020,861,036 and 6,200,865,476 is: 9,562,810,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020,861,036 : 6,200,865,476 = 6,200,865,476 : x
  2. Step 2: Convert to fraction form
    4,020,861,036/6,200,865,476 = 6,200,865,476/x
  3. Step 3: Cross multiply
    4,020,861,036x = 6,200,865,476 × 6,200,865,476
  4. Step 4: Simplify right side
    4,020,861,036x = 38,450,732,651,448,705,024
  5. Step 5: Solve for x
    x = 38,450,732,651,448,705,024/4,020,861,036
  6. Step 6: Final answer
    x = 9,562,810,628.67

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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.