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Finding the Third Proportional to 411,475,896 and 880,220,736

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Solution

The third proportional to 411,475,896 and 880,220,736 is: 1,882,950,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475,896 : 880,220,736 = 880,220,736 : x
  2. Step 2: Convert to fraction form
    411,475,896/880,220,736 = 880,220,736/x
  3. Step 3: Cross multiply
    411,475,896x = 880,220,736 × 880,220,736
  4. Step 4: Simplify right side
    411,475,896x = 774,788,544,084,381,696
  5. Step 5: Solve for x
    x = 774,788,544,084,381,696/411,475,896
  6. Step 6: Final answer
    x = 1,882,950,013.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.