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Finding the Third Proportional to 298,576,106,623.50 and 658,011,532,899

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Solution

The third proportional to 298,576,106,623.50 and 658,011,532,899 is: 1,450,146,772,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,106,623.50 : 658,011,532,899 = 658,011,532,899 : x
  2. Step 2: Convert to fraction form
    298,576,106,623.50/658,011,532,899 = 658,011,532,899/x
  3. Step 3: Cross multiply
    298,576,106,623.50x = 658,011,532,899 × 658,011,532,899
  4. Step 4: Simplify right side
    298,576,106,623.50x = 432,979,177,428,091,760,803,840
  5. Step 5: Solve for x
    x = 432,979,177,428,091,760,803,840/298,576,106,623.50
  6. Step 6: Final answer
    x = 1,450,146,772,709.02

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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.