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Finding the Third Proportional to 66,065,056 and 142,254,464

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Solution

The third proportional to 66,065,056 and 142,254,464 is: 306,309,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,065,056 : 142,254,464 = 142,254,464 : x
  2. Step 2: Convert to fraction form
    66,065,056/142,254,464 = 142,254,464/x
  3. Step 3: Cross multiply
    66,065,056x = 142,254,464 × 142,254,464
  4. Step 4: Simplify right side
    66,065,056x = 20,236,332,527,927,296
  5. Step 5: Solve for x
    x = 20,236,332,527,927,296/66,065,056
  6. Step 6: Final answer
    x = 306,309,170.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.