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Finding the Third Proportional to 7,835,604,603,652.40 and 17,046,907,497,904

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Solution

The third proportional to 7,835,604,603,652.40 and 17,046,907,497,904 is: 37,086,743,134,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835,604,603,652.40 : 17,046,907,497,904 = 17,046,907,497,904 : x
  2. Step 2: Convert to fraction form
    7,835,604,603,652.40/17,046,907,497,904 = 17,046,907,497,904/x
  3. Step 3: Cross multiply
    7,835,604,603,652.40x = 17,046,907,497,904 × 17,046,907,497,904
  4. Step 4: Simplify right side
    7,835,604,603,652.40x = 290,597,055,242,095,617,661,468,672
  5. Step 5: Solve for x
    x = 290,597,055,242,095,617,661,468,672/7,835,604,603,652.40
  6. Step 6: Final answer
    x = 37,086,743,134,874.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.