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Finding the Third Proportional to 29,576,469,258 and 69,749,525,988

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Solution

The third proportional to 29,576,469,258 and 69,749,525,988 is: 164,488,747,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576,469,258 : 69,749,525,988 = 69,749,525,988 : x
  2. Step 2: Convert to fraction form
    29,576,469,258/69,749,525,988 = 69,749,525,988/x
  3. Step 3: Cross multiply
    29,576,469,258x = 69,749,525,988 × 69,749,525,988
  4. Step 4: Simplify right side
    29,576,469,258x = 4,864,996,375,550,687,707,136
  5. Step 5: Solve for x
    x = 4,864,996,375,550,687,707,136/29,576,469,258
  6. Step 6: Final answer
    x = 164,488,747,223.77

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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.