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Finding the Third Proportional to 67,527,312 and 145,292,244

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Solution

The third proportional to 67,527,312 and 145,292,244 is: 312,611,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,527,312 : 145,292,244 = 145,292,244 : x
  2. Step 2: Convert to fraction form
    67,527,312/145,292,244 = 145,292,244/x
  3. Step 3: Cross multiply
    67,527,312x = 145,292,244 × 145,292,244
  4. Step 4: Simplify right side
    67,527,312x = 21,109,836,166,555,536
  5. Step 5: Solve for x
    x = 21,109,836,166,555,536/67,527,312
  6. Step 6: Final answer
    x = 312,611,823.89

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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.