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Finding the Third Proportional to 633,974,574 and 1,380,498,359.50

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Solution

The third proportional to 633,974,574 and 1,380,498,359.50 is: 3,006,075,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,974,574 : 1,380,498,359.50 = 1,380,498,359.50 : x
  2. Step 2: Convert to fraction form
    633,974,574/1,380,498,359.50 = 1,380,498,359.50/x
  3. Step 3: Cross multiply
    633,974,574x = 1,380,498,359.50 × 1,380,498,359.50
  4. Step 4: Simplify right side
    633,974,574x = 1,905,775,720,582,191,360
  5. Step 5: Solve for x
    x = 1,905,775,720,582,191,360/633,974,574
  6. Step 6: Final answer
    x = 3,006,075,951.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.