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Finding the Third Proportional to 5,674,098.94 and 12,312,705.38

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Solution

The third proportional to 5,674,098.94 and 12,312,705.38 is: 26,718,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,098.94 : 12,312,705.38 = 12,312,705.38 : x
  2. Step 2: Convert to fraction form
    5,674,098.94/12,312,705.38 = 12,312,705.38/x
  3. Step 3: Cross multiply
    5,674,098.94x = 12,312,705.38 × 12,312,705.38
  4. Step 4: Simplify right side
    5,674,098.94x = 151,602,713,651,553.88
  5. Step 5: Solve for x
    x = 151,602,713,651,553.88/5,674,098.94
  6. Step 6: Final answer
    x = 26,718,376.84

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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.