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Finding the Third Proportional to 317,415,709,016 and 685,325,359,552

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Solution

The third proportional to 317,415,709,016 and 685,325,359,552 is: 1,479,671,090,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415,709,016 : 685,325,359,552 = 685,325,359,552 : x
  2. Step 2: Convert to fraction form
    317,415,709,016/685,325,359,552 = 685,325,359,552/x
  3. Step 3: Cross multiply
    317,415,709,016x = 685,325,359,552 × 685,325,359,552
  4. Step 4: Simplify right side
    317,415,709,016x = 469,670,848,445,078,059,352,064
  5. Step 5: Solve for x
    x = 469,670,848,445,078,059,352,064/317,415,709,016
  6. Step 6: Final answer
    x = 1,479,671,090,952.22

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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.