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Finding the Third Proportional to 1,511,851,051.50 and 3,300,648,018

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Solution

The third proportional to 1,511,851,051.50 and 3,300,648,018 is: 7,205,919,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,851,051.50 : 3,300,648,018 = 3,300,648,018 : x
  2. Step 2: Convert to fraction form
    1,511,851,051.50/3,300,648,018 = 3,300,648,018/x
  3. Step 3: Cross multiply
    1,511,851,051.50x = 3,300,648,018 × 3,300,648,018
  4. Step 4: Simplify right side
    1,511,851,051.50x = 10,894,277,338,727,327,744
  5. Step 5: Solve for x
    x = 10,894,277,338,727,327,744/1,511,851,051.50
  6. Step 6: Final answer
    x = 7,205,919,741.84

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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.