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Finding the Third Proportional to 9,364,479,217 and 22,098,494,835

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Solution

The third proportional to 9,364,479,217 and 22,098,494,835 is: 52,148,492,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364,479,217 : 22,098,494,835 = 22,098,494,835 : x
  2. Step 2: Convert to fraction form
    9,364,479,217/22,098,494,835 = 22,098,494,835/x
  3. Step 3: Cross multiply
    9,364,479,217x = 22,098,494,835 × 22,098,494,835
  4. Step 4: Simplify right side
    9,364,479,217x = 488,343,473,972,521,664,512
  5. Step 5: Solve for x
    x = 488,343,473,972,521,664,512/9,364,479,217
  6. Step 6: Final answer
    x = 52,148,492,474.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.