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Finding the Third Proportional to 30,452,815,094 and 46,554,505,966

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Solution

The third proportional to 30,452,815,094 and 46,554,505,966 is: 71,169,841,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,815,094 : 46,554,505,966 = 46,554,505,966 : x
  2. Step 2: Convert to fraction form
    30,452,815,094/46,554,505,966 = 46,554,505,966/x
  3. Step 3: Cross multiply
    30,452,815,094x = 46,554,505,966 × 46,554,505,966
  4. Step 4: Simplify right side
    30,452,815,094x = 2,167,322,025,738,329,653,248
  5. Step 5: Solve for x
    x = 2,167,322,025,738,329,653,248/30,452,815,094
  6. Step 6: Final answer
    x = 71,169,841,574.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.