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Finding the Third Proportional to 6,644,049,654 and 15,683,914,326

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Solution

The third proportional to 6,644,049,654 and 15,683,914,326 is: 37,023,379,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,049,654 : 15,683,914,326 = 15,683,914,326 : x
  2. Step 2: Convert to fraction form
    6,644,049,654/15,683,914,326 = 15,683,914,326/x
  3. Step 3: Cross multiply
    6,644,049,654x = 15,683,914,326 × 15,683,914,326
  4. Step 4: Simplify right side
    6,644,049,654x = 245,985,168,585,308,045,312
  5. Step 5: Solve for x
    x = 245,985,168,585,308,045,312/6,644,049,654
  6. Step 6: Final answer
    x = 37,023,379,022.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.