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Finding the Third Proportional to 5,456,035.34 and 7,586,181.88

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Solution

The third proportional to 5,456,035.34 and 7,586,181.88 is: 10,547,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456,035.34 : 7,586,181.88 = 7,586,181.88 : x
  2. Step 2: Convert to fraction form
    5,456,035.34/7,586,181.88 = 7,586,181.88/x
  3. Step 3: Cross multiply
    5,456,035.34x = 7,586,181.88 × 7,586,181.88
  4. Step 4: Simplify right side
    5,456,035.34x = 57,550,155,499,844.80
  5. Step 5: Solve for x
    x = 57,550,155,499,844.80/5,456,035.34
  6. Step 6: Final answer
    x = 10,547,980.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.