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Finding the Third Proportional to 10,376,586 and 16,576,659

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Solution

The third proportional to 10,376,586 and 16,576,659 is: 26,481,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376,586 : 16,576,659 = 16,576,659 : x
  2. Step 2: Convert to fraction form
    10,376,586/16,576,659 = 16,576,659/x
  3. Step 3: Cross multiply
    10,376,586x = 16,576,659 × 16,576,659
  4. Step 4: Simplify right side
    10,376,586x = 274,785,623,602,281
  5. Step 5: Solve for x
    x = 274,785,623,602,281/10,376,586
  6. Step 6: Final answer
    x = 26,481,313.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.