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Finding the Third Proportional to 189,246,852,819 and 407,196,485,425

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Solution

The third proportional to 189,246,852,819 and 407,196,485,425 is: 876,151,836,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246,852,819 : 407,196,485,425 = 407,196,485,425 : x
  2. Step 2: Convert to fraction form
    189,246,852,819/407,196,485,425 = 407,196,485,425/x
  3. Step 3: Cross multiply
    189,246,852,819x = 407,196,485,425 × 407,196,485,425
  4. Step 4: Simplify right side
    189,246,852,819x = 165,808,977,742,472,232,828,928
  5. Step 5: Solve for x
    x = 165,808,977,742,472,232,828,928/189,246,852,819
  6. Step 6: Final answer
    x = 876,151,836,992.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.