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Finding the Third Proportional to 298,049,170,842 and 650,042,104,908

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Solution

The third proportional to 298,049,170,842 and 650,042,104,908 is: 1,417,734,989,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049,170,842 : 650,042,104,908 = 650,042,104,908 : x
  2. Step 2: Convert to fraction form
    298,049,170,842/650,042,104,908 = 650,042,104,908/x
  3. Step 3: Cross multiply
    298,049,170,842x = 650,042,104,908 × 650,042,104,908
  4. Step 4: Simplify right side
    298,049,170,842x = 422,554,738,153,223,253,655,552
  5. Step 5: Solve for x
    x = 422,554,738,153,223,253,655,552/298,049,170,842
  6. Step 6: Final answer
    x = 1,417,734,989,698.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.