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Finding the Third Proportional to 893,550,697.59 and 1,947,990,794.06

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Solution

The third proportional to 893,550,697.59 and 1,947,990,794.06 is: 4,246,729,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,550,697.59 : 1,947,990,794.06 = 1,947,990,794.06 : x
  2. Step 2: Convert to fraction form
    893,550,697.59/1,947,990,794.06 = 1,947,990,794.06/x
  3. Step 3: Cross multiply
    893,550,697.59x = 1,947,990,794.06 × 1,947,990,794.06
  4. Step 4: Simplify right side
    893,550,697.59x = 3,794,668,133,752,249,344
  5. Step 5: Solve for x
    x = 3,794,668,133,752,249,344/893,550,697.59
  6. Step 6: Final answer
    x = 4,246,729,529.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.