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Finding the Third Proportional to 266,042,912,937 and 550,943,878,351

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Solution

The third proportional to 266,042,912,937 and 550,943,878,351 is: 1,140,940,586,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042,912,937 : 550,943,878,351 = 550,943,878,351 : x
  2. Step 2: Convert to fraction form
    266,042,912,937/550,943,878,351 = 550,943,878,351/x
  3. Step 3: Cross multiply
    266,042,912,937x = 550,943,878,351 × 550,943,878,351
  4. Step 4: Simplify right side
    266,042,912,937x = 303,539,157,092,441,509,593,088
  5. Step 5: Solve for x
    x = 303,539,157,092,441,509,593,088/266,042,912,937
  6. Step 6: Final answer
    x = 1,140,940,586,394.50

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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.