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Finding the Third Proportional to 30,866,350.50 and 65,832,111

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Solution

The third proportional to 30,866,350.50 and 65,832,111 is: 140,407,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866,350.50 : 65,832,111 = 65,832,111 : x
  2. Step 2: Convert to fraction form
    30,866,350.50/65,832,111 = 65,832,111/x
  3. Step 3: Cross multiply
    30,866,350.50x = 65,832,111 × 65,832,111
  4. Step 4: Simplify right side
    30,866,350.50x = 4,333,866,838,716,321
  5. Step 5: Solve for x
    x = 4,333,866,838,716,321/30,866,350.50
  6. Step 6: Final answer
    x = 140,407,491.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.