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Finding the Third Proportional to 317,415,709,028 and 685,325,359,576

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Solution

The third proportional to 317,415,709,028 and 685,325,359,576 is: 1,479,671,090,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415,709,028 : 685,325,359,576 = 685,325,359,576 : x
  2. Step 2: Convert to fraction form
    317,415,709,028/685,325,359,576 = 685,325,359,576/x
  3. Step 3: Cross multiply
    317,415,709,028x = 685,325,359,576 × 685,325,359,576
  4. Step 4: Simplify right side
    317,415,709,028x = 469,670,848,477,973,683,634,176
  5. Step 5: Solve for x
    x = 469,670,848,477,973,683,634,176/317,415,709,028
  6. Step 6: Final answer
    x = 1,479,671,090,999.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.