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Finding the Third Proportional to 6,300,811.13 and 9,731,037.09

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Solution

The third proportional to 6,300,811.13 and 9,731,037.09 is: 15,028,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,811.13 : 9,731,037.09 = 9,731,037.09 : x
  2. Step 2: Convert to fraction form
    6,300,811.13/9,731,037.09 = 9,731,037.09/x
  3. Step 3: Cross multiply
    6,300,811.13x = 9,731,037.09 × 9,731,037.09
  4. Step 4: Simplify right side
    6,300,811.13x = 94,693,082,919,938.45
  5. Step 5: Solve for x
    x = 94,693,082,919,938.45/6,300,811.13
  6. Step 6: Final answer
    x = 15,028,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.