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Finding the Third Proportional to 3,673,049,281 and 7,500,268,117

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Solution

The third proportional to 3,673,049,281 and 7,500,268,117 is: 15,315,346,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673,049,281 : 7,500,268,117 = 7,500,268,117 : x
  2. Step 2: Convert to fraction form
    3,673,049,281/7,500,268,117 = 7,500,268,117/x
  3. Step 3: Cross multiply
    3,673,049,281x = 7,500,268,117 × 7,500,268,117
  4. Step 4: Simplify right side
    3,673,049,281x = 56,254,021,826,886,729,728
  5. Step 5: Solve for x
    x = 56,254,021,826,886,729,728/3,673,049,281
  6. Step 6: Final answer
    x = 15,315,346,330.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.