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Finding the Third Proportional to 951,286,834 and 1,455,362,344.50

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Solution

The third proportional to 951,286,834 and 1,455,362,344.50 is: 2,226,541,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,286,834 : 1,455,362,344.50 = 1,455,362,344.50 : x
  2. Step 2: Convert to fraction form
    951,286,834/1,455,362,344.50 = 1,455,362,344.50/x
  3. Step 3: Cross multiply
    951,286,834x = 1,455,362,344.50 × 1,455,362,344.50
  4. Step 4: Simplify right side
    951,286,834x = 2,118,079,553,788,536,576
  5. Step 5: Solve for x
    x = 2,118,079,553,788,536,576/951,286,834
  6. Step 6: Final answer
    x = 2,226,541,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.