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Finding the Third Proportional to 7,371,667.93 and 11,538,774.32

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Solution

The third proportional to 7,371,667.93 and 11,538,774.32 is: 18,061,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371,667.93 : 11,538,774.32 = 11,538,774.32 : x
  2. Step 2: Convert to fraction form
    7,371,667.93/11,538,774.32 = 11,538,774.32/x
  3. Step 3: Cross multiply
    7,371,667.93x = 11,538,774.32 × 11,538,774.32
  4. Step 4: Simplify right side
    7,371,667.93x = 133,143,312,724,950.77
  5. Step 5: Solve for x
    x = 133,143,312,724,950.77/7,371,667.93
  6. Step 6: Final answer
    x = 18,061,490.82

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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.