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Finding the Third Proportional to 29,829,640 and 46,063,196

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Solution

The third proportional to 29,829,640 and 46,063,196 is: 71,131,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,640 : 46,063,196 = 46,063,196 : x
  2. Step 2: Convert to fraction form
    29,829,640/46,063,196 = 46,063,196/x
  3. Step 3: Cross multiply
    29,829,640x = 46,063,196 × 46,063,196
  4. Step 4: Simplify right side
    29,829,640x = 2,121,818,025,734,416
  5. Step 5: Solve for x
    x = 2,121,818,025,734,416/29,829,640
  6. Step 6: Final answer
    x = 71,131,197.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.