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Finding the Third Proportional to 308,670,672,231 and 668,632,857,813

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Solution

The third proportional to 308,670,672,231 and 668,632,857,813 is: 1,448,371,804,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,670,672,231 : 668,632,857,813 = 668,632,857,813 : x
  2. Step 2: Convert to fraction form
    308,670,672,231/668,632,857,813 = 668,632,857,813/x
  3. Step 3: Cross multiply
    308,670,672,231x = 668,632,857,813 × 668,632,857,813
  4. Step 4: Simplify right side
    308,670,672,231x = 447,069,898,547,179,443,716,096
  5. Step 5: Solve for x
    x = 447,069,898,547,179,443,716,096/308,670,672,231
  6. Step 6: Final answer
    x = 1,448,371,804,538.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.