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Finding the Third Proportional to 45,834,229 and 66,284,293.50

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Solution

The third proportional to 45,834,229 and 66,284,293.50 is: 95,858,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,834,229 : 66,284,293.50 = 66,284,293.50 : x
  2. Step 2: Convert to fraction form
    45,834,229/66,284,293.50 = 66,284,293.50/x
  3. Step 3: Cross multiply
    45,834,229x = 66,284,293.50 × 66,284,293.50
  4. Step 4: Simplify right side
    45,834,229x = 4,393,607,564,794,142
  5. Step 5: Solve for x
    x = 4,393,607,564,794,142/45,834,229
  6. Step 6: Final answer
    x = 95,858,655.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.