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Finding the Third Proportional to 726,736,619 and 1,594,171,011

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Solution

The third proportional to 726,736,619 and 1,594,171,011 is: 3,496,976,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,736,619 : 1,594,171,011 = 1,594,171,011 : x
  2. Step 2: Convert to fraction form
    726,736,619/1,594,171,011 = 1,594,171,011/x
  3. Step 3: Cross multiply
    726,736,619x = 1,594,171,011 × 1,594,171,011
  4. Step 4: Simplify right side
    726,736,619x = 2,541,381,212,312,762,368
  5. Step 5: Solve for x
    x = 2,541,381,212,312,762,368/726,736,619
  6. Step 6: Final answer
    x = 3,496,976,959.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.