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Finding the Third Proportional to 7,874,003 and 16,376,553

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Solution

The third proportional to 7,874,003 and 16,376,553 is: 34,060,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,003 : 16,376,553 = 16,376,553 : x
  2. Step 2: Convert to fraction form
    7,874,003/16,376,553 = 16,376,553/x
  3. Step 3: Cross multiply
    7,874,003x = 16,376,553 × 16,376,553
  4. Step 4: Simplify right side
    7,874,003x = 268,191,488,161,809
  5. Step 5: Solve for x
    x = 268,191,488,161,809/7,874,003
  6. Step 6: Final answer
    x = 34,060,374.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.