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Finding the Third Proportional to 308,670,672,233 and 668,632,857,817

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Solution

The third proportional to 308,670,672,233 and 668,632,857,817 is: 1,448,371,804,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,670,672,233 : 668,632,857,817 = 668,632,857,817 : x
  2. Step 2: Convert to fraction form
    308,670,672,233/668,632,857,817 = 668,632,857,817/x
  3. Step 3: Cross multiply
    308,670,672,233x = 668,632,857,817 × 668,632,857,817
  4. Step 4: Simplify right side
    308,670,672,233x = 447,069,898,552,528,557,047,808
  5. Step 5: Solve for x
    x = 447,069,898,552,528,557,047,808/308,670,672,233
  6. Step 6: Final answer
    x = 1,448,371,804,545.97

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Why These Related Problems?

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