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Finding the Third Proportional to 30,319,696 and 46,650,600

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Solution

The third proportional to 30,319,696 and 46,650,600 is: 71,777,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319,696 : 46,650,600 = 46,650,600 : x
  2. Step 2: Convert to fraction form
    30,319,696/46,650,600 = 46,650,600/x
  3. Step 3: Cross multiply
    30,319,696x = 46,650,600 × 46,650,600
  4. Step 4: Simplify right side
    30,319,696x = 2,176,278,480,360,000
  5. Step 5: Solve for x
    x = 2,176,278,480,360,000/30,319,696
  6. Step 6: Final answer
    x = 71,777,714.41

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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.