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Finding the Third Proportional to 189,784,836 and 414,368,784

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Solution

The third proportional to 189,784,836 and 414,368,784 is: 904,716,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784,836 : 414,368,784 = 414,368,784 : x
  2. Step 2: Convert to fraction form
    189,784,836/414,368,784 = 414,368,784/x
  3. Step 3: Cross multiply
    189,784,836x = 414,368,784 × 414,368,784
  4. Step 4: Simplify right side
    189,784,836x = 171,701,489,153,638,656
  5. Step 5: Solve for x
    x = 171,701,489,153,638,656/189,784,836
  6. Step 6: Final answer
    x = 904,716,587.33

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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.