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Finding the Third Proportional to 3,021,419,961 and 6,502,005,087

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Solution

The third proportional to 3,021,419,961 and 6,502,005,087 is: 13,992,119,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,419,961 : 6,502,005,087 = 6,502,005,087 : x
  2. Step 2: Convert to fraction form
    3,021,419,961/6,502,005,087 = 6,502,005,087/x
  3. Step 3: Cross multiply
    3,021,419,961x = 6,502,005,087 × 6,502,005,087
  4. Step 4: Simplify right side
    3,021,419,961x = 42,276,070,151,373,881,344
  5. Step 5: Solve for x
    x = 42,276,070,151,373,881,344/3,021,419,961
  6. Step 6: Final answer
    x = 13,992,119,830.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.