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Finding the Third Proportional to 5,185,905 and 7,610,675.25

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Solution

The third proportional to 5,185,905 and 7,610,675.25 is: 11,169,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185,905 : 7,610,675.25 = 7,610,675.25 : x
  2. Step 2: Convert to fraction form
    5,185,905/7,610,675.25 = 7,610,675.25/x
  3. Step 3: Cross multiply
    5,185,905x = 7,610,675.25 × 7,610,675.25
  4. Step 4: Simplify right side
    5,185,905x = 57,922,377,760,962.56
  5. Step 5: Solve for x
    x = 57,922,377,760,962.56/5,185,905
  6. Step 6: Final answer
    x = 11,169,193.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.