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Finding the Third Proportional to 1,482,337,293.75 and 1,976,217,462

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Solution

The third proportional to 1,482,337,293.75 and 1,976,217,462 is: 2,634,646,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,337,293.75 : 1,976,217,462 = 1,976,217,462 : x
  2. Step 2: Convert to fraction form
    1,482,337,293.75/1,976,217,462 = 1,976,217,462/x
  3. Step 3: Cross multiply
    1,482,337,293.75x = 1,976,217,462 × 1,976,217,462
  4. Step 4: Simplify right side
    1,482,337,293.75x = 3,905,435,457,113,721,344
  5. Step 5: Solve for x
    x = 3,905,435,457,113,721,344/1,482,337,293.75
  6. Step 6: Final answer
    x = 2,634,646,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.