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Finding the Third Proportional to 49,652,645 and 77,497,064

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Solution

The third proportional to 49,652,645 and 77,497,064 is: 120,956,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,652,645 : 77,497,064 = 77,497,064 : x
  2. Step 2: Convert to fraction form
    49,652,645/77,497,064 = 77,497,064/x
  3. Step 3: Cross multiply
    49,652,645x = 77,497,064 × 77,497,064
  4. Step 4: Simplify right side
    49,652,645x = 6,005,794,928,620,096
  5. Step 5: Solve for x
    x = 6,005,794,928,620,096/49,652,645
  6. Step 6: Final answer
    x = 120,956,193.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.