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Finding the Third Proportional to 1,095,033,826 and 2,434,894,364

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Solution

The third proportional to 1,095,033,826 and 2,434,894,364 is: 5,414,180,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,033,826 : 2,434,894,364 = 2,434,894,364 : x
  2. Step 2: Convert to fraction form
    1,095,033,826/2,434,894,364 = 2,434,894,364/x
  3. Step 3: Cross multiply
    1,095,033,826x = 2,434,894,364 × 2,434,894,364
  4. Step 4: Simplify right side
    1,095,033,826x = 5,928,710,563,838,964,736
  5. Step 5: Solve for x
    x = 5,928,710,563,838,964,736/1,095,033,826
  6. Step 6: Final answer
    x = 5,414,180,295.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.