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Finding the Third Proportional to 2,616,385,947 and 4,021,574,396

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Solution

The third proportional to 2,616,385,947 and 4,021,574,396 is: 6,181,450,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,385,947 : 4,021,574,396 = 4,021,574,396 : x
  2. Step 2: Convert to fraction form
    2,616,385,947/4,021,574,396 = 4,021,574,396/x
  3. Step 3: Cross multiply
    2,616,385,947x = 4,021,574,396 × 4,021,574,396
  4. Step 4: Simplify right side
    2,616,385,947x = 16,173,060,622,562,764,800
  5. Step 5: Solve for x
    x = 16,173,060,622,562,764,800/2,616,385,947
  6. Step 6: Final answer
    x = 6,181,450,653.76

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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.