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Finding the Third Proportional to 7,844,011.13 and 17,077,010.63

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Solution

The third proportional to 7,844,011.13 and 17,077,010.63 is: 37,177,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844,011.13 : 17,077,010.63 = 17,077,010.63 : x
  2. Step 2: Convert to fraction form
    7,844,011.13/17,077,010.63 = 17,077,010.63/x
  3. Step 3: Cross multiply
    7,844,011.13x = 17,077,010.63 × 17,077,010.63
  4. Step 4: Simplify right side
    7,844,011.13x = 291,624,291,886,362.88
  5. Step 5: Solve for x
    x = 291,624,291,886,362.88/7,844,011.13
  6. Step 6: Final answer
    x = 37,177,954.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.