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Finding the Third Proportional to 6,438,304 and 9,658,224

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Solution

The third proportional to 6,438,304 and 9,658,224 is: 14,488,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,304 : 9,658,224 = 9,658,224 : x
  2. Step 2: Convert to fraction form
    6,438,304/9,658,224 = 9,658,224/x
  3. Step 3: Cross multiply
    6,438,304x = 9,658,224 × 9,658,224
  4. Step 4: Simplify right side
    6,438,304x = 93,281,290,834,176
  5. Step 5: Solve for x
    x = 93,281,290,834,176/6,438,304
  6. Step 6: Final answer
    x = 14,488,488.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.