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Finding the Third Proportional to 10,483,323 and 15,376,509

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Solution

The third proportional to 10,483,323 and 15,376,509 is: 22,553,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,323 : 15,376,509 = 15,376,509 : x
  2. Step 2: Convert to fraction form
    10,483,323/15,376,509 = 15,376,509/x
  3. Step 3: Cross multiply
    10,483,323x = 15,376,509 × 15,376,509
  4. Step 4: Simplify right side
    10,483,323x = 236,437,029,027,081
  5. Step 5: Solve for x
    x = 236,437,029,027,081/10,483,323
  6. Step 6: Final answer
    x = 22,553,633.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.