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Finding the Third Proportional to 9,558,072,198 and 14,960,688,336

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Solution

The third proportional to 9,558,072,198 and 14,960,688,336 is: 23,417,085,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558,072,198 : 14,960,688,336 = 14,960,688,336 : x
  2. Step 2: Convert to fraction form
    9,558,072,198/14,960,688,336 = 14,960,688,336/x
  3. Step 3: Cross multiply
    9,558,072,198x = 14,960,688,336 × 14,960,688,336
  4. Step 4: Simplify right side
    9,558,072,198x = 223,822,195,486,926,438,400
  5. Step 5: Solve for x
    x = 223,822,195,486,926,438,400/9,558,072,198
  6. Step 6: Final answer
    x = 23,417,085,668.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.