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Finding the Third Proportional to 6,751,825,620,951 and 9,109,798,054,452

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Solution

The third proportional to 6,751,825,620,951 and 9,109,798,054,452 is: 12,291,256,506,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751,825,620,951 : 9,109,798,054,452 = 9,109,798,054,452 : x
  2. Step 2: Convert to fraction form
    6,751,825,620,951/9,109,798,054,452 = 9,109,798,054,452/x
  3. Step 3: Cross multiply
    6,751,825,620,951x = 9,109,798,054,452 × 9,109,798,054,452
  4. Step 4: Simplify right side
    6,751,825,620,951x = 82,988,420,592,897,440,150,978,560
  5. Step 5: Solve for x
    x = 82,988,420,592,897,440,150,978,560/6,751,825,620,951
  6. Step 6: Final answer
    x = 12,291,256,506,297.10

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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.