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Finding the Third Proportional to 1,581,383,719 and 2,313,863,559

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Solution

The third proportional to 1,581,383,719 and 2,313,863,559 is: 3,385,620,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,383,719 : 2,313,863,559 = 2,313,863,559 : x
  2. Step 2: Convert to fraction form
    1,581,383,719/2,313,863,559 = 2,313,863,559/x
  3. Step 3: Cross multiply
    1,581,383,719x = 2,313,863,559 × 2,313,863,559
  4. Step 4: Simplify right side
    1,581,383,719x = 5,353,964,569,668,146,176
  5. Step 5: Solve for x
    x = 5,353,964,569,668,146,176/1,581,383,719
  6. Step 6: Final answer
    x = 3,385,620,140.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.