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Finding the Third Proportional to 551,643,866 and 1,170,533,644

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Solution

The third proportional to 551,643,866 and 1,170,533,644 is: 2,483,756,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,643,866 : 1,170,533,644 = 1,170,533,644 : x
  2. Step 2: Convert to fraction form
    551,643,866/1,170,533,644 = 1,170,533,644/x
  3. Step 3: Cross multiply
    551,643,866x = 1,170,533,644 × 1,170,533,644
  4. Step 4: Simplify right side
    551,643,866x = 1,370,149,011,735,918,848
  5. Step 5: Solve for x
    x = 1,370,149,011,735,918,848/551,643,866
  6. Step 6: Final answer
    x = 2,483,756,452.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.