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Finding the Third Proportional to 30,096,723 and 46,116,540

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Solution

The third proportional to 30,096,723 and 46,116,540 is: 70,663,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096,723 : 46,116,540 = 46,116,540 : x
  2. Step 2: Convert to fraction form
    30,096,723/46,116,540 = 46,116,540/x
  3. Step 3: Cross multiply
    30,096,723x = 46,116,540 × 46,116,540
  4. Step 4: Simplify right side
    30,096,723x = 2,126,735,261,571,600
  5. Step 5: Solve for x
    x = 2,126,735,261,571,600/30,096,723
  6. Step 6: Final answer
    x = 70,663,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.