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Finding the Third Proportional to 30,880,824.75 and 66,845,422.13

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Solution

The third proportional to 30,880,824.75 and 66,845,422.13 is: 144,695,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880,824.75 : 66,845,422.13 = 66,845,422.13 : x
  2. Step 2: Convert to fraction form
    30,880,824.75/66,845,422.13 = 66,845,422.13/x
  3. Step 3: Cross multiply
    30,880,824.75x = 66,845,422.13 × 66,845,422.13
  4. Step 4: Simplify right side
    30,880,824.75x = 4,468,310,459,069,439.50
  5. Step 5: Solve for x
    x = 4,468,310,459,069,439.50/30,880,824.75
  6. Step 6: Final answer
    x = 144,695,308.34

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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.