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Finding the Third Proportional to 551,656,206 and 1,200,166,776

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Solution

The third proportional to 551,656,206 and 1,200,166,776 is: 2,611,047,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,656,206 : 1,200,166,776 = 1,200,166,776 : x
  2. Step 2: Convert to fraction form
    551,656,206/1,200,166,776 = 1,200,166,776/x
  3. Step 3: Cross multiply
    551,656,206x = 1,200,166,776 × 1,200,166,776
  4. Step 4: Simplify right side
    551,656,206x = 1,440,400,290,214,234,112
  5. Step 5: Solve for x
    x = 1,440,400,290,214,234,112/551,656,206
  6. Step 6: Final answer
    x = 2,611,047,015.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.