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Finding the Third Proportional to 32,257,952 and 47,782,236

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Solution

The third proportional to 32,257,952 and 47,782,236 is: 70,777,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257,952 : 47,782,236 = 47,782,236 : x
  2. Step 2: Convert to fraction form
    32,257,952/47,782,236 = 47,782,236/x
  3. Step 3: Cross multiply
    32,257,952x = 47,782,236 × 47,782,236
  4. Step 4: Simplify right side
    32,257,952x = 2,283,142,077,159,696
  5. Step 5: Solve for x
    x = 2,283,142,077,159,696/32,257,952
  6. Step 6: Final answer
    x = 70,777,651.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.