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Finding the Third Proportional to 10,805,978 and 19,216,030

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Solution

The third proportional to 10,805,978 and 19,216,030 is: 34,171,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805,978 : 19,216,030 = 19,216,030 : x
  2. Step 2: Convert to fraction form
    10,805,978/19,216,030 = 19,216,030/x
  3. Step 3: Cross multiply
    10,805,978x = 19,216,030 × 19,216,030
  4. Step 4: Simplify right side
    10,805,978x = 369,255,808,960,900
  5. Step 5: Solve for x
    x = 369,255,808,960,900/10,805,978
  6. Step 6: Final answer
    x = 34,171,438.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.