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Finding the Third Proportional to 531,957,912,474.40 and 794,450,995,291.65

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Solution

The third proportional to 531,957,912,474.40 and 794,450,995,291.65 is: 1,186,470,525,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,957,912,474.40 : 794,450,995,291.65 = 794,450,995,291.65 : x
  2. Step 2: Convert to fraction form
    531,957,912,474.40/794,450,995,291.65 = 794,450,995,291.65/x
  3. Step 3: Cross multiply
    531,957,912,474.40x = 794,450,995,291.65 × 794,450,995,291.65
  4. Step 4: Simplify right side
    531,957,912,474.40x = 631,152,383,919,893,331,836,928
  5. Step 5: Solve for x
    x = 631,152,383,919,893,331,836,928/531,957,912,474.40
  6. Step 6: Final answer
    x = 1,186,470,525,429.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.