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Finding the Third Proportional to 1,382,772,048 and 3,041,354,180

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Solution

The third proportional to 1,382,772,048 and 3,041,354,180 is: 6,689,342,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,772,048 : 3,041,354,180 = 3,041,354,180 : x
  2. Step 2: Convert to fraction form
    1,382,772,048/3,041,354,180 = 3,041,354,180/x
  3. Step 3: Cross multiply
    1,382,772,048x = 3,041,354,180 × 3,041,354,180
  4. Step 4: Simplify right side
    1,382,772,048x = 9,249,835,248,203,472,896
  5. Step 5: Solve for x
    x = 9,249,835,248,203,472,896/1,382,772,048
  6. Step 6: Final answer
    x = 6,689,342,080.34

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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.