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Finding the Third Proportional to 5,965,785,270 and 8,973,585,054

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Solution

The third proportional to 5,965,785,270 and 8,973,585,054 is: 13,497,842,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965,785,270 : 8,973,585,054 = 8,973,585,054 : x
  2. Step 2: Convert to fraction form
    5,965,785,270/8,973,585,054 = 8,973,585,054/x
  3. Step 3: Cross multiply
    5,965,785,270x = 8,973,585,054 × 8,973,585,054
  4. Step 4: Simplify right side
    5,965,785,270x = 80,525,228,721,372,184,576
  5. Step 5: Solve for x
    x = 80,525,228,721,372,184,576/5,965,785,270
  6. Step 6: Final answer
    x = 13,497,842,291.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.