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Finding the Third Proportional to 4,432,473 and 9,705,717

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Solution

The third proportional to 4,432,473 and 9,705,717 is: 21,252,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,473 : 9,705,717 = 9,705,717 : x
  2. Step 2: Convert to fraction form
    4,432,473/9,705,717 = 9,705,717/x
  3. Step 3: Cross multiply
    4,432,473x = 9,705,717 × 9,705,717
  4. Step 4: Simplify right side
    4,432,473x = 94,200,942,484,089
  5. Step 5: Solve for x
    x = 94,200,942,484,089/4,432,473
  6. Step 6: Final answer
    x = 21,252,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.