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Finding the Third Proportional to 556,436,208,826.70 and 1,205,269,303,629.40

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Solution

The third proportional to 556,436,208,826.70 and 1,205,269,303,629.40 is: 2,610,674,990,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,436,208,826.70 : 1,205,269,303,629.40 = 1,205,269,303,629.40 : x
  2. Step 2: Convert to fraction form
    556,436,208,826.70/1,205,269,303,629.40 = 1,205,269,303,629.40/x
  3. Step 3: Cross multiply
    556,436,208,826.70x = 1,205,269,303,629.40 × 1,205,269,303,629.40
  4. Step 4: Simplify right side
    556,436,208,826.70x = 1,452,674,094,271,298,694,807,552
  5. Step 5: Solve for x
    x = 1,452,674,094,271,298,694,807,552/556,436,208,826.70
  6. Step 6: Final answer
    x = 2,610,674,990,641.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.