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Finding the Third Proportional to 30,962,172 and 43,310,146.50

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Solution

The third proportional to 30,962,172 and 43,310,146.50 is: 60,582,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962,172 : 43,310,146.50 = 43,310,146.50 : x
  2. Step 2: Convert to fraction form
    30,962,172/43,310,146.50 = 43,310,146.50/x
  3. Step 3: Cross multiply
    30,962,172x = 43,310,146.50 × 43,310,146.50
  4. Step 4: Simplify right side
    30,962,172x = 1,875,768,789,851,462.25
  5. Step 5: Solve for x
    x = 1,875,768,789,851,462.25/30,962,172
  6. Step 6: Final answer
    x = 60,582,597.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.