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Finding the Third Proportional to 30,452,815,091 and 46,554,505,964

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Solution

The third proportional to 30,452,815,091 and 46,554,505,964 is: 71,169,841,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,815,091 : 46,554,505,964 = 46,554,505,964 : x
  2. Step 2: Convert to fraction form
    30,452,815,091/46,554,505,964 = 46,554,505,964/x
  3. Step 3: Cross multiply
    30,452,815,091x = 46,554,505,964 × 46,554,505,964
  4. Step 4: Simplify right side
    30,452,815,091x = 2,167,322,025,552,111,468,544
  5. Step 5: Solve for x
    x = 2,167,322,025,552,111,468,544/30,452,815,091
  6. Step 6: Final answer
    x = 71,169,841,575.42

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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.