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Finding the Third Proportional to 451,166,098 and 679,736,155

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Solution

The third proportional to 451,166,098 and 679,736,155 is: 1,024,104,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,166,098 : 679,736,155 = 679,736,155 : x
  2. Step 2: Convert to fraction form
    451,166,098/679,736,155 = 679,736,155/x
  3. Step 3: Cross multiply
    451,166,098x = 679,736,155 × 679,736,155
  4. Step 4: Simplify right side
    451,166,098x = 462,041,240,414,184,000
  5. Step 5: Solve for x
    x = 462,041,240,414,184,000/451,166,098
  6. Step 6: Final answer
    x = 1,024,104,520.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.