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Finding the Third Proportional to 9,740,315,298 and 15,057,770,052

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Solution

The third proportional to 9,740,315,298 and 15,057,770,052 is: 23,278,141,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740,315,298 : 15,057,770,052 = 15,057,770,052 : x
  2. Step 2: Convert to fraction form
    9,740,315,298/15,057,770,052 = 15,057,770,052/x
  3. Step 3: Cross multiply
    9,740,315,298x = 15,057,770,052 × 15,057,770,052
  4. Step 4: Simplify right side
    9,740,315,298x = 226,736,438,938,908,098,560
  5. Step 5: Solve for x
    x = 226,736,438,938,908,098,560/9,740,315,298
  6. Step 6: Final answer
    x = 23,278,141,620.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.