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Finding the Third Proportional to 29,219,416 and 46,265,745

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Solution

The third proportional to 29,219,416 and 46,265,745 is: 73,256,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219,416 : 46,265,745 = 46,265,745 : x
  2. Step 2: Convert to fraction form
    29,219,416/46,265,745 = 46,265,745/x
  3. Step 3: Cross multiply
    29,219,416x = 46,265,745 × 46,265,745
  4. Step 4: Simplify right side
    29,219,416x = 2,140,519,160,405,025
  5. Step 5: Solve for x
    x = 2,140,519,160,405,025/29,219,416
  6. Step 6: Final answer
    x = 73,256,739.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.