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Finding the Third Proportional to 266,042,912,933.75 and 550,943,878,343.50

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Solution

The third proportional to 266,042,912,933.75 and 550,943,878,343.50 is: 1,140,940,586,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042,912,933.75 : 550,943,878,343.50 = 550,943,878,343.50 : x
  2. Step 2: Convert to fraction form
    266,042,912,933.75/550,943,878,343.50 = 550,943,878,343.50/x
  3. Step 3: Cross multiply
    266,042,912,933.75x = 550,943,878,343.50 × 550,943,878,343.50
  4. Step 4: Simplify right side
    266,042,912,933.75x = 303,539,157,084,177,321,426,944
  5. Step 5: Solve for x
    x = 303,539,157,084,177,321,426,944/266,042,912,933.75
  6. Step 6: Final answer
    x = 1,140,940,586,377.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.