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Finding the Third Proportional to 4,712,836.50 and 7,206,322.50

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Solution

The third proportional to 4,712,836.50 and 7,206,322.50 is: 11,019,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,836.50 : 7,206,322.50 = 7,206,322.50 : x
  2. Step 2: Convert to fraction form
    4,712,836.50/7,206,322.50 = 7,206,322.50/x
  3. Step 3: Cross multiply
    4,712,836.50x = 7,206,322.50 × 7,206,322.50
  4. Step 4: Simplify right side
    4,712,836.50x = 51,931,083,974,006.25
  5. Step 5: Solve for x
    x = 51,931,083,974,006.25/4,712,836.50
  6. Step 6: Final answer
    x = 11,019,071.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.