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Finding the Third Proportional to 1,551,654,852 and 2,325,212,521

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Solution

The third proportional to 1,551,654,852 and 2,325,212,521 is: 3,484,417,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,654,852 : 2,325,212,521 = 2,325,212,521 : x
  2. Step 2: Convert to fraction form
    1,551,654,852/2,325,212,521 = 2,325,212,521/x
  3. Step 3: Cross multiply
    1,551,654,852x = 2,325,212,521 × 2,325,212,521
  4. Step 4: Simplify right side
    1,551,654,852x = 5,406,613,267,815,175,168
  5. Step 5: Solve for x
    x = 5,406,613,267,815,175,168/1,551,654,852
  6. Step 6: Final answer
    x = 3,484,417,466.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.