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Finding the Third Proportional to 1,262,783,873,024 and 2,946,597,527,360

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Solution

The third proportional to 1,262,783,873,024 and 2,946,597,527,360 is: 6,875,631,827,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,783,873,024 : 2,946,597,527,360 = 2,946,597,527,360 : x
  2. Step 2: Convert to fraction form
    1,262,783,873,024/2,946,597,527,360 = 2,946,597,527,360/x
  3. Step 3: Cross multiply
    1,262,783,873,024x = 2,946,597,527,360 × 2,946,597,527,360
  4. Step 4: Simplify right side
    1,262,783,873,024x = 8,682,436,988,244,066,304,000,000
  5. Step 5: Solve for x
    x = 8,682,436,988,244,066,304,000,000/1,262,783,873,024
  6. Step 6: Final answer
    x = 6,875,631,827,204.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.