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Finding the Third Proportional to 875,363,604.75 and 1,875,831,745.50

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Solution

The third proportional to 875,363,604.75 and 1,875,831,745.50 is: 4,019,752,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,363,604.75 : 1,875,831,745.50 = 1,875,831,745.50 : x
  2. Step 2: Convert to fraction form
    875,363,604.75/1,875,831,745.50 = 1,875,831,745.50/x
  3. Step 3: Cross multiply
    875,363,604.75x = 1,875,831,745.50 × 1,875,831,745.50
  4. Step 4: Simplify right side
    875,363,604.75x = 3,518,744,737,425,576,960
  5. Step 5: Solve for x
    x = 3,518,744,737,425,576,960/875,363,604.75
  6. Step 6: Final answer
    x = 4,019,752,155.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.