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Finding the Third Proportional to 29,487,340 and 46,156,149

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Solution

The third proportional to 29,487,340 and 46,156,149 is: 72,247,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,487,340 : 46,156,149 = 46,156,149 : x
  2. Step 2: Convert to fraction form
    29,487,340/46,156,149 = 46,156,149/x
  3. Step 3: Cross multiply
    29,487,340x = 46,156,149 × 46,156,149
  4. Step 4: Simplify right side
    29,487,340x = 2,130,390,090,510,201
  5. Step 5: Solve for x
    x = 2,130,390,090,510,201/29,487,340
  6. Step 6: Final answer
    x = 72,247,618.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.