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Finding the Third Proportional to 66,346,517.81 and 103,851,380.81

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Solution

The third proportional to 66,346,517.81 and 103,851,380.81 is: 162,557,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,346,517.81 : 103,851,380.81 = 103,851,380.81 : x
  2. Step 2: Convert to fraction form
    66,346,517.81/103,851,380.81 = 103,851,380.81/x
  3. Step 3: Cross multiply
    66,346,517.81x = 103,851,380.81 × 103,851,380.81
  4. Step 4: Simplify right side
    66,346,517.81x = 10,785,109,296,662,894
  5. Step 5: Solve for x
    x = 10,785,109,296,662,894/66,346,517.81
  6. Step 6: Final answer
    x = 162,557,277.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.