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Finding the Third Proportional to 3,927,740.63 and 6,095,856.38

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Solution

The third proportional to 3,927,740.63 and 6,095,856.38 is: 9,460,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927,740.63 : 6,095,856.38 = 6,095,856.38 : x
  2. Step 2: Convert to fraction form
    3,927,740.63/6,095,856.38 = 6,095,856.38/x
  3. Step 3: Cross multiply
    3,927,740.63x = 6,095,856.38 × 6,095,856.38
  4. Step 4: Simplify right side
    3,927,740.63x = 37,159,464,944,628.14
  5. Step 5: Solve for x
    x = 37,159,464,944,628.14/3,927,740.63
  6. Step 6: Final answer
    x = 9,460,773.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.