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Finding the Third Proportional to 3,384,268,686,823 and 7,433,386,074,275

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Solution

The third proportional to 3,384,268,686,823 and 7,433,386,074,275 is: 16,327,080,868,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,268,686,823 : 7,433,386,074,275 = 7,433,386,074,275 : x
  2. Step 2: Convert to fraction form
    3,384,268,686,823/7,433,386,074,275 = 7,433,386,074,275/x
  3. Step 3: Cross multiply
    3,384,268,686,823x = 7,433,386,074,275 × 7,433,386,074,275
  4. Step 4: Simplify right side
    3,384,268,686,823x = 55,255,228,529,225,494,714,908,672
  5. Step 5: Solve for x
    x = 55,255,228,529,225,494,714,908,672/3,384,268,686,823
  6. Step 6: Final answer
    x = 16,327,080,868,125.94

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Why These Related Problems?

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