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Finding the Third Proportional to 874,734,930 and 1,927,768,680

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Solution

The third proportional to 874,734,930 and 1,927,768,680 is: 4,248,477,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,734,930 : 1,927,768,680 = 1,927,768,680 : x
  2. Step 2: Convert to fraction form
    874,734,930/1,927,768,680 = 1,927,768,680/x
  3. Step 3: Cross multiply
    874,734,930x = 1,927,768,680 × 1,927,768,680
  4. Step 4: Simplify right side
    874,734,930x = 3,716,292,083,588,942,336
  5. Step 5: Solve for x
    x = 3,716,292,083,588,942,336/874,734,930
  6. Step 6: Final answer
    x = 4,248,477,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.