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Finding the Third Proportional to 10,665,074 and 17,174,283

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Solution

The third proportional to 10,665,074 and 17,174,283 is: 27,656,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665,074 : 17,174,283 = 17,174,283 : x
  2. Step 2: Convert to fraction form
    10,665,074/17,174,283 = 17,174,283/x
  3. Step 3: Cross multiply
    10,665,074x = 17,174,283 × 17,174,283
  4. Step 4: Simplify right side
    10,665,074x = 294,955,996,564,089
  5. Step 5: Solve for x
    x = 294,955,996,564,089/10,665,074
  6. Step 6: Final answer
    x = 27,656,254.10

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.