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Finding the Third Proportional to 2,673,979,257,876.80 and 5,873,269,421,720.40

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Solution

The third proportional to 2,673,979,257,876.80 and 5,873,269,421,720.40 is: 12,900,359,491,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,979,257,876.80 : 5,873,269,421,720.40 = 5,873,269,421,720.40 : x
  2. Step 2: Convert to fraction form
    2,673,979,257,876.80/5,873,269,421,720.40 = 5,873,269,421,720.40/x
  3. Step 3: Cross multiply
    2,673,979,257,876.80x = 5,873,269,421,720.40 × 5,873,269,421,720.40
  4. Step 4: Simplify right side
    2,673,979,257,876.80x = 34,495,293,700,115,886,847,819,776
  5. Step 5: Solve for x
    x = 34,495,293,700,115,886,847,819,776/2,673,979,257,876.80
  6. Step 6: Final answer
    x = 12,900,359,491,758.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.