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Finding the Third Proportional to 1,225,047,632 and 1,882,986,792

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Solution

The third proportional to 1,225,047,632 and 1,882,986,792 is: 2,894,286,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,047,632 : 1,882,986,792 = 1,882,986,792 : x
  2. Step 2: Convert to fraction form
    1,225,047,632/1,882,986,792 = 1,882,986,792/x
  3. Step 3: Cross multiply
    1,225,047,632x = 1,882,986,792 × 1,882,986,792
  4. Step 4: Simplify right side
    1,225,047,632x = 3,545,639,258,846,451,200
  5. Step 5: Solve for x
    x = 3,545,639,258,846,451,200/1,225,047,632
  6. Step 6: Final answer
    x = 2,894,286,855.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.