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Finding the Third Proportional to 5,877,250.13 and 13,828,813.13

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Solution

The third proportional to 5,877,250.13 and 13,828,813.13 is: 32,538,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,250.13 : 13,828,813.13 = 13,828,813.13 : x
  2. Step 2: Convert to fraction form
    5,877,250.13/13,828,813.13 = 13,828,813.13/x
  3. Step 3: Cross multiply
    5,877,250.13x = 13,828,813.13 × 13,828,813.13
  4. Step 4: Simplify right side
    5,877,250.13x = 191,236,072,446,172.25
  5. Step 5: Solve for x
    x = 191,236,072,446,172.25/5,877,250.13
  6. Step 6: Final answer
    x = 32,538,358.65

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.