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Finding the Third Proportional to 30,341,272.50 and 65,530,633.50

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Solution

The third proportional to 30,341,272.50 and 65,530,633.50 is: 141,532,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341,272.50 : 65,530,633.50 = 65,530,633.50 : x
  2. Step 2: Convert to fraction form
    30,341,272.50/65,530,633.50 = 65,530,633.50/x
  3. Step 3: Cross multiply
    30,341,272.50x = 65,530,633.50 × 65,530,633.50
  4. Step 4: Simplify right side
    30,341,272.50x = 4,294,263,926,911,322
  5. Step 5: Solve for x
    x = 4,294,263,926,911,322/30,341,272.50
  6. Step 6: Final answer
    x = 141,532,097.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.