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Finding the Third Proportional to 298,576,106,642 and 658,011,532,936

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Solution

The third proportional to 298,576,106,642 and 658,011,532,936 is: 1,450,146,772,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,106,642 : 658,011,532,936 = 658,011,532,936 : x
  2. Step 2: Convert to fraction form
    298,576,106,642/658,011,532,936 = 658,011,532,936/x
  3. Step 3: Cross multiply
    298,576,106,642x = 658,011,532,936 × 658,011,532,936
  4. Step 4: Simplify right side
    298,576,106,642x = 432,979,177,476,784,610,344,960
  5. Step 5: Solve for x
    x = 432,979,177,476,784,610,344,960/298,576,106,642
  6. Step 6: Final answer
    x = 1,450,146,772,782.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.