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Finding the Third Proportional to 1,382,772,046 and 3,041,354,176

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Solution

The third proportional to 1,382,772,046 and 3,041,354,176 is: 6,689,342,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,772,046 : 3,041,354,176 = 3,041,354,176 : x
  2. Step 2: Convert to fraction form
    1,382,772,046/3,041,354,176 = 3,041,354,176/x
  3. Step 3: Cross multiply
    1,382,772,046x = 3,041,354,176 × 3,041,354,176
  4. Step 4: Simplify right side
    1,382,772,046x = 9,249,835,223,872,638,976
  5. Step 5: Solve for x
    x = 9,249,835,223,872,638,976/1,382,772,046
  6. Step 6: Final answer
    x = 6,689,342,072.42

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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.