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Finding the Third Proportional to 964,319,413 and 2,093,031,242

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Solution

The third proportional to 964,319,413 and 2,093,031,242 is: 4,542,872,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,319,413 : 2,093,031,242 = 2,093,031,242 : x
  2. Step 2: Convert to fraction form
    964,319,413/2,093,031,242 = 2,093,031,242/x
  3. Step 3: Cross multiply
    964,319,413x = 2,093,031,242 × 2,093,031,242
  4. Step 4: Simplify right side
    964,319,413x = 4,380,779,779,988,062,720
  5. Step 5: Solve for x
    x = 4,380,779,779,988,062,720/964,319,413
  6. Step 6: Final answer
    x = 4,542,872,124.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.