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Finding the Third Proportional to 266,042,912,935 and 550,943,878,347

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Solution

The third proportional to 266,042,912,935 and 550,943,878,347 is: 1,140,940,586,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042,912,935 : 550,943,878,347 = 550,943,878,347 : x
  2. Step 2: Convert to fraction form
    266,042,912,935/550,943,878,347 = 550,943,878,347/x
  3. Step 3: Cross multiply
    266,042,912,935x = 550,943,878,347 × 550,943,878,347
  4. Step 4: Simplify right side
    266,042,912,935x = 303,539,157,088,033,933,623,296
  5. Step 5: Solve for x
    x = 303,539,157,088,033,933,623,296/266,042,912,935
  6. Step 6: Final answer
    x = 1,140,940,586,386.51

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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.