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Finding the Third Proportional to 595,143,936 and 1,281,484,800

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Solution

The third proportional to 595,143,936 and 1,281,484,800 is: 2,759,338,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,143,936 : 1,281,484,800 = 1,281,484,800 : x
  2. Step 2: Convert to fraction form
    595,143,936/1,281,484,800 = 1,281,484,800/x
  3. Step 3: Cross multiply
    595,143,936x = 1,281,484,800 × 1,281,484,800
  4. Step 4: Simplify right side
    595,143,936x = 1,642,203,292,631,040,000
  5. Step 5: Solve for x
    x = 1,642,203,292,631,040,000/595,143,936
  6. Step 6: Final answer
    x = 2,759,338,024.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.