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Finding the Third Proportional to 728,123,411.25 and 1,604,661,563.25

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Solution

The third proportional to 728,123,411.25 and 1,604,661,563.25 is: 3,536,404,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,411.25 : 1,604,661,563.25 = 1,604,661,563.25 : x
  2. Step 2: Convert to fraction form
    728,123,411.25/1,604,661,563.25 = 1,604,661,563.25/x
  3. Step 3: Cross multiply
    728,123,411.25x = 1,604,661,563.25 × 1,604,661,563.25
  4. Step 4: Simplify right side
    728,123,411.25x = 2,574,938,732,571,933,696
  5. Step 5: Solve for x
    x = 2,574,938,732,571,933,696/728,123,411.25
  6. Step 6: Final answer
    x = 3,536,404,258.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.