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Finding the Third Proportional to 7,862,487.12 and 16,817,995.83

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Solution

The third proportional to 7,862,487.12 and 16,817,995.83 is: 35,973,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,487.12 : 16,817,995.83 = 16,817,995.83 : x
  2. Step 2: Convert to fraction form
    7,862,487.12/16,817,995.83 = 16,817,995.83/x
  3. Step 3: Cross multiply
    7,862,487.12x = 16,817,995.83 × 16,817,995.83
  4. Step 4: Simplify right side
    7,862,487.12x = 282,844,983,674,829.88
  5. Step 5: Solve for x
    x = 282,844,983,674,829.88/7,862,487.12
  6. Step 6: Final answer
    x = 35,973,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.