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Finding the Third Proportional to 3,774,734,325 and 5,662,101,973.50

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Solution

The third proportional to 3,774,734,325 and 5,662,101,973.50 is: 8,493,153,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774,734,325 : 5,662,101,973.50 = 5,662,101,973.50 : x
  2. Step 2: Convert to fraction form
    3,774,734,325/5,662,101,973.50 = 5,662,101,973.50/x
  3. Step 3: Cross multiply
    3,774,734,325x = 5,662,101,973.50 × 5,662,101,973.50
  4. Step 4: Simplify right side
    3,774,734,325x = 32,059,398,758,312,595,456
  5. Step 5: Solve for x
    x = 32,059,398,758,312,595,456/3,774,734,325
  6. Step 6: Final answer
    x = 8,493,153,689.25

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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.