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Finding the Third Proportional to 2,084,594,159 and 3,175,737,117

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Solution

The third proportional to 2,084,594,159 and 3,175,737,117 is: 4,838,019,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,594,159 : 3,175,737,117 = 3,175,737,117 : x
  2. Step 2: Convert to fraction form
    2,084,594,159/3,175,737,117 = 3,175,737,117/x
  3. Step 3: Cross multiply
    2,084,594,159x = 3,175,737,117 × 3,175,737,117
  4. Step 4: Simplify right side
    2,084,594,159x = 10,085,306,236,291,471,360
  5. Step 5: Solve for x
    x = 10,085,306,236,291,471,360/2,084,594,159
  6. Step 6: Final answer
    x = 4,838,019,042.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.