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Finding the Third Proportional to 914,615,928 and 1,947,213,216

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Solution

The third proportional to 914,615,928 and 1,947,213,216 is: 4,145,608,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,615,928 : 1,947,213,216 = 1,947,213,216 : x
  2. Step 2: Convert to fraction form
    914,615,928/1,947,213,216 = 1,947,213,216/x
  3. Step 3: Cross multiply
    914,615,928x = 1,947,213,216 × 1,947,213,216
  4. Step 4: Simplify right side
    914,615,928x = 3,791,639,308,565,062,656
  5. Step 5: Solve for x
    x = 3,791,639,308,565,062,656/914,615,928
  6. Step 6: Final answer
    x = 4,145,608,219.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.