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Finding the Third Proportional to 539,337,788,554.50 and 1,173,620,754,072

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Solution

The third proportional to 539,337,788,554.50 and 1,173,620,754,072 is: 2,553,846,037,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,337,788,554.50 : 1,173,620,754,072 = 1,173,620,754,072 : x
  2. Step 2: Convert to fraction form
    539,337,788,554.50/1,173,620,754,072 = 1,173,620,754,072/x
  3. Step 3: Cross multiply
    539,337,788,554.50x = 1,173,620,754,072 × 1,173,620,754,072
  4. Step 4: Simplify right side
    539,337,788,554.50x = 1,377,385,674,388,529,811,030,016
  5. Step 5: Solve for x
    x = 1,377,385,674,388,529,811,030,016/539,337,788,554.50
  6. Step 6: Final answer
    x = 2,553,846,037,897.91

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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.