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Finding the Third Proportional to 438,654,865.50 and 963,408,114

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Solution

The third proportional to 438,654,865.50 and 963,408,114 is: 2,115,912,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,654,865.50 : 963,408,114 = 963,408,114 : x
  2. Step 2: Convert to fraction form
    438,654,865.50/963,408,114 = 963,408,114/x
  3. Step 3: Cross multiply
    438,654,865.50x = 963,408,114 × 963,408,114
  4. Step 4: Simplify right side
    438,654,865.50x = 928,155,194,121,037,056
  5. Step 5: Solve for x
    x = 928,155,194,121,037,056/438,654,865.50
  6. Step 6: Final answer
    x = 2,115,912,228.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.