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Finding the Third Proportional to 6,751,825,620,980 and 9,109,798,054,491

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Solution

The third proportional to 6,751,825,620,980 and 9,109,798,054,491 is: 12,291,256,506,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751,825,620,980 : 9,109,798,054,491 = 9,109,798,054,491 : x
  2. Step 2: Convert to fraction form
    6,751,825,620,980/9,109,798,054,491 = 9,109,798,054,491/x
  3. Step 3: Cross multiply
    6,751,825,620,980x = 9,109,798,054,491 × 9,109,798,054,491
  4. Step 4: Simplify right side
    6,751,825,620,980x = 82,988,420,593,608,016,720,297,984
  5. Step 5: Solve for x
    x = 82,988,420,593,608,016,720,297,984/6,751,825,620,980
  6. Step 6: Final answer
    x = 12,291,256,506,349.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.