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Finding the Third Proportional to 26,254,639,675 and 56,491,280,266

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Solution

The third proportional to 26,254,639,675 and 56,491,280,266 is: 121,550,506,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254,639,675 : 56,491,280,266 = 56,491,280,266 : x
  2. Step 2: Convert to fraction form
    26,254,639,675/56,491,280,266 = 56,491,280,266/x
  3. Step 3: Cross multiply
    26,254,639,675x = 56,491,280,266 × 56,491,280,266
  4. Step 4: Simplify right side
    26,254,639,675x = 3,191,264,746,091,760,844,800
  5. Step 5: Solve for x
    x = 3,191,264,746,091,760,844,800/26,254,639,675
  6. Step 6: Final answer
    x = 121,550,506,333.19

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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.