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Finding the Third Proportional to 51,817,502,833 and 79,611,866,065.50

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Solution

The third proportional to 51,817,502,833 and 79,611,866,065.50 is: 122,314,833,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817,502,833 : 79,611,866,065.50 = 79,611,866,065.50 : x
  2. Step 2: Convert to fraction form
    51,817,502,833/79,611,866,065.50 = 79,611,866,065.50/x
  3. Step 3: Cross multiply
    51,817,502,833x = 79,611,866,065.50 × 79,611,866,065.50
  4. Step 4: Simplify right side
    51,817,502,833x = 6,338,049,218,431,110,086,656
  5. Step 5: Solve for x
    x = 6,338,049,218,431,110,086,656/51,817,502,833
  6. Step 6: Final answer
    x = 122,314,833,249.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.