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Finding the Third Proportional to 7,586,466 and 16,432,644

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Solution

The third proportional to 7,586,466 and 16,432,644 is: 35,593,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586,466 : 16,432,644 = 16,432,644 : x
  2. Step 2: Convert to fraction form
    7,586,466/16,432,644 = 16,432,644/x
  3. Step 3: Cross multiply
    7,586,466x = 16,432,644 × 16,432,644
  4. Step 4: Simplify right side
    7,586,466x = 270,031,788,830,736
  5. Step 5: Solve for x
    x = 270,031,788,830,736/7,586,466
  6. Step 6: Final answer
    x = 35,593,883.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.