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Finding the Third Proportional to 996,954,023 and 2,169,460,723

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Solution

The third proportional to 996,954,023 and 2,169,460,723 is: 4,720,939,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,954,023 : 2,169,460,723 = 2,169,460,723 : x
  2. Step 2: Convert to fraction form
    996,954,023/2,169,460,723 = 2,169,460,723/x
  3. Step 3: Cross multiply
    996,954,023x = 2,169,460,723 × 2,169,460,723
  4. Step 4: Simplify right side
    996,954,023x = 4,706,559,828,639,682,560
  5. Step 5: Solve for x
    x = 4,706,559,828,639,682,560/996,954,023
  6. Step 6: Final answer
    x = 4,720,939,702.39

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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.