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Finding the Third Proportional to 483,133,765,829 and 1,051,091,400,322

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Solution

The third proportional to 483,133,765,829 and 1,051,091,400,322 is: 2,286,723,077,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,133,765,829 : 1,051,091,400,322 = 1,051,091,400,322 : x
  2. Step 2: Convert to fraction form
    483,133,765,829/1,051,091,400,322 = 1,051,091,400,322/x
  3. Step 3: Cross multiply
    483,133,765,829x = 1,051,091,400,322 × 1,051,091,400,322
  4. Step 4: Simplify right side
    483,133,765,829x = 1,104,793,131,830,862,894,071,808
  5. Step 5: Solve for x
    x = 1,104,793,131,830,862,894,071,808/483,133,765,829
  6. Step 6: Final answer
    x = 2,286,723,077,479.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.