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Finding the Third Proportional to 67,527,314 and 145,292,248

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Solution

The third proportional to 67,527,314 and 145,292,248 is: 312,611,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,527,314 : 145,292,248 = 145,292,248 : x
  2. Step 2: Convert to fraction form
    67,527,314/145,292,248 = 145,292,248/x
  3. Step 3: Cross multiply
    67,527,314x = 145,292,248 × 145,292,248
  4. Step 4: Simplify right side
    67,527,314x = 21,109,837,328,893,504
  5. Step 5: Solve for x
    x = 21,109,837,328,893,504/67,527,314
  6. Step 6: Final answer
    x = 312,611,831.84

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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.