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Finding the Third Proportional to 1,118,439,039 and 1,677,658,720.50

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Solution

The third proportional to 1,118,439,039 and 1,677,658,720.50 is: 2,516,488,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,439,039 : 1,677,658,720.50 = 1,677,658,720.50 : x
  2. Step 2: Convert to fraction form
    1,118,439,039/1,677,658,720.50 = 1,677,658,720.50/x
  3. Step 3: Cross multiply
    1,118,439,039x = 1,677,658,720.50 × 1,677,658,720.50
  4. Step 4: Simplify right side
    1,118,439,039x = 2,814,538,782,469,697,024
  5. Step 5: Solve for x
    x = 2,814,538,782,469,697,024/1,118,439,039
  6. Step 6: Final answer
    x = 2,516,488,323.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.