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Finding the Third Proportional to 1,645,974,921 and 2,507,550,529.50

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Solution

The third proportional to 1,645,974,921 and 2,507,550,529.50 is: 3,820,112,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,974,921 : 2,507,550,529.50 = 2,507,550,529.50 : x
  2. Step 2: Convert to fraction form
    1,645,974,921/2,507,550,529.50 = 2,507,550,529.50/x
  3. Step 3: Cross multiply
    1,645,974,921x = 2,507,550,529.50 × 2,507,550,529.50
  4. Step 4: Simplify right side
    1,645,974,921x = 6,287,809,657,995,729,920
  5. Step 5: Solve for x
    x = 6,287,809,657,995,729,920/1,645,974,921
  6. Step 6: Final answer
    x = 3,820,112,674.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.