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Finding the Third Proportional to 7,886,808 and 17,194,032

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Solution

The third proportional to 7,886,808 and 17,194,032 is: 37,484,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886,808 : 17,194,032 = 17,194,032 : x
  2. Step 2: Convert to fraction form
    7,886,808/17,194,032 = 17,194,032/x
  3. Step 3: Cross multiply
    7,886,808x = 17,194,032 × 17,194,032
  4. Step 4: Simplify right side
    7,886,808x = 295,634,736,417,024
  5. Step 5: Solve for x
    x = 295,634,736,417,024/7,886,808
  6. Step 6: Final answer
    x = 37,484,713.26

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Why These Related Problems?

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