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Finding the Third Proportional to 19,894,575,964 and 43,145,872,172

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Solution

The third proportional to 19,894,575,964 and 43,145,872,172 is: 93,571,548,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894,575,964 : 43,145,872,172 = 43,145,872,172 : x
  2. Step 2: Convert to fraction form
    19,894,575,964/43,145,872,172 = 43,145,872,172/x
  3. Step 3: Cross multiply
    19,894,575,964x = 43,145,872,172 × 43,145,872,172
  4. Step 4: Simplify right side
    19,894,575,964x = 1,861,566,285,482,563,993,600
  5. Step 5: Solve for x
    x = 1,861,566,285,482,563,993,600/19,894,575,964
  6. Step 6: Final answer
    x = 93,571,548,790.54

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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.