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Finding the Third Proportional to 27,352,937,368 and 40,868,388,744

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Solution

The third proportional to 27,352,937,368 and 40,868,388,744 is: 61,062,005,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352,937,368 : 40,868,388,744 = 40,868,388,744 : x
  2. Step 2: Convert to fraction form
    27,352,937,368/40,868,388,744 = 40,868,388,744/x
  3. Step 3: Cross multiply
    27,352,937,368x = 40,868,388,744 × 40,868,388,744
  4. Step 4: Simplify right side
    27,352,937,368x = 1,670,225,198,530,706,014,208
  5. Step 5: Solve for x
    x = 1,670,225,198,530,706,014,208/27,352,937,368
  6. Step 6: Final answer
    x = 61,062,005,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.