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Finding the Third Proportional to 648,739,551 and 1,343,469,282

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Solution

The third proportional to 648,739,551 and 1,343,469,282 is: 2,782,179,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,739,551 : 1,343,469,282 = 1,343,469,282 : x
  2. Step 2: Convert to fraction form
    648,739,551/1,343,469,282 = 1,343,469,282/x
  3. Step 3: Cross multiply
    648,739,551x = 1,343,469,282 × 1,343,469,282
  4. Step 4: Simplify right side
    648,739,551x = 1,804,909,711,677,595,648
  5. Step 5: Solve for x
    x = 1,804,909,711,677,595,648/648,739,551
  6. Step 6: Final answer
    x = 2,782,179,241.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.