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Finding the Third Proportional to 308,670,672,238 and 668,632,857,826

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Solution

The third proportional to 308,670,672,238 and 668,632,857,826 is: 1,448,371,804,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,670,672,238 : 668,632,857,826 = 668,632,857,826 : x
  2. Step 2: Convert to fraction form
    308,670,672,238/668,632,857,826 = 668,632,857,826/x
  3. Step 3: Cross multiply
    308,670,672,238x = 668,632,857,826 × 668,632,857,826
  4. Step 4: Simplify right side
    308,670,672,238x = 447,069,898,564,563,927,826,432
  5. Step 5: Solve for x
    x = 447,069,898,564,563,927,826,432/308,670,672,238
  6. Step 6: Final answer
    x = 1,448,371,804,561.50

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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.