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Finding the Third Proportional to 172,333,458,475 and 377,130,762,914

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Solution

The third proportional to 172,333,458,475 and 377,130,762,914 is: 825,304,694,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,333,458,475 : 377,130,762,914 = 377,130,762,914 : x
  2. Step 2: Convert to fraction form
    172,333,458,475/377,130,762,914 = 377,130,762,914/x
  3. Step 3: Cross multiply
    172,333,458,475x = 377,130,762,914 × 377,130,762,914
  4. Step 4: Simplify right side
    172,333,458,475x = 142,227,612,336,095,670,304,768
  5. Step 5: Solve for x
    x = 142,227,612,336,095,670,304,768/172,333,458,475
  6. Step 6: Final answer
    x = 825,304,694,716.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.