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Finding the Third Proportional to 30,085,650 and 45,200,308.50

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Solution

The third proportional to 30,085,650 and 45,200,308.50 is: 67,908,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085,650 : 45,200,308.50 = 45,200,308.50 : x
  2. Step 2: Convert to fraction form
    30,085,650/45,200,308.50 = 45,200,308.50/x
  3. Step 3: Cross multiply
    30,085,650x = 45,200,308.50 × 45,200,308.50
  4. Step 4: Simplify right side
    30,085,650x = 2,043,067,888,495,172.25
  5. Step 5: Solve for x
    x = 2,043,067,888,495,172.25/30,085,650
  6. Step 6: Final answer
    x = 67,908,384.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.