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Finding the Third Proportional to 182,818,804 and 395,456,534

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Solution

The third proportional to 182,818,804 and 395,456,534 is: 855,414,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,818,804 : 395,456,534 = 395,456,534 : x
  2. Step 2: Convert to fraction form
    182,818,804/395,456,534 = 395,456,534/x
  3. Step 3: Cross multiply
    182,818,804x = 395,456,534 × 395,456,534
  4. Step 4: Simplify right side
    182,818,804x = 156,385,870,283,293,152
  5. Step 5: Solve for x
    x = 156,385,870,283,293,152/182,818,804
  6. Step 6: Final answer
    x = 855,414,579.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.