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Finding the Third Proportional to 29,836,807 and 65,220,271

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Solution

The third proportional to 29,836,807 and 65,220,271 is: 142,564,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836,807 : 65,220,271 = 65,220,271 : x
  2. Step 2: Convert to fraction form
    29,836,807/65,220,271 = 65,220,271/x
  3. Step 3: Cross multiply
    29,836,807x = 65,220,271 × 65,220,271
  4. Step 4: Simplify right side
    29,836,807x = 4,253,683,749,313,441
  5. Step 5: Solve for x
    x = 4,253,683,749,313,441/29,836,807
  6. Step 6: Final answer
    x = 142,564,978.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.