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Finding the Third Proportional to 545,701,866.75 and 838,791,787.50

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Solution

The third proportional to 545,701,866.75 and 838,791,787.50 is: 1,289,296,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,701,866.75 : 838,791,787.50 = 838,791,787.50 : x
  2. Step 2: Convert to fraction form
    545,701,866.75/838,791,787.50 = 838,791,787.50/x
  3. Step 3: Cross multiply
    545,701,866.75x = 838,791,787.50 × 838,791,787.50
  4. Step 4: Simplify right side
    545,701,866.75x = 703,571,662,777,445,120
  5. Step 5: Solve for x
    x = 703,571,662,777,445,120/545,701,866.75
  6. Step 6: Final answer
    x = 1,289,296,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.