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Finding the Third Proportional to 56,145,820 and 82,272,102

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Solution

The third proportional to 56,145,820 and 82,272,102 is: 120,555,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145,820 : 82,272,102 = 82,272,102 : x
  2. Step 2: Convert to fraction form
    56,145,820/82,272,102 = 82,272,102/x
  3. Step 3: Cross multiply
    56,145,820x = 82,272,102 × 82,272,102
  4. Step 4: Simplify right side
    56,145,820x = 6,768,698,767,498,404
  5. Step 5: Solve for x
    x = 6,768,698,767,498,404/56,145,820
  6. Step 6: Final answer
    x = 120,555,702.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.