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Finding the Third Proportional to 2,668,973,324.24 and 5,739,617,955.72

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Solution

The third proportional to 2,668,973,324.24 and 5,739,617,955.72 is: 12,343,028,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,973,324.24 : 5,739,617,955.72 = 5,739,617,955.72 : x
  2. Step 2: Convert to fraction form
    2,668,973,324.24/5,739,617,955.72 = 5,739,617,955.72/x
  3. Step 3: Cross multiply
    2,668,973,324.24x = 5,739,617,955.72 × 5,739,617,955.72
  4. Step 4: Simplify right side
    2,668,973,324.24x = 32,943,214,277,623,435,264
  5. Step 5: Solve for x
    x = 32,943,214,277,623,435,264/2,668,973,324.24
  6. Step 6: Final answer
    x = 12,343,028,676.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.