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Finding the Third Proportional to 47,406,423,396 and 68,494,095,215

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Solution

The third proportional to 47,406,423,396 and 68,494,095,215 is: 98,962,139,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406,423,396 : 68,494,095,215 = 68,494,095,215 : x
  2. Step 2: Convert to fraction form
    47,406,423,396/68,494,095,215 = 68,494,095,215/x
  3. Step 3: Cross multiply
    47,406,423,396x = 68,494,095,215 × 68,494,095,215
  4. Step 4: Simplify right side
    47,406,423,396x = 4,691,441,079,321,485,639,680
  5. Step 5: Solve for x
    x = 4,691,441,079,321,485,639,680/47,406,423,396
  6. Step 6: Final answer
    x = 98,962,139,373.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.