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Finding the Third Proportional to 6,283,924 and 9,608,495

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Solution

The third proportional to 6,283,924 and 9,608,495 is: 14,691,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,924 : 9,608,495 = 9,608,495 : x
  2. Step 2: Convert to fraction form
    6,283,924/9,608,495 = 9,608,495/x
  3. Step 3: Cross multiply
    6,283,924x = 9,608,495 × 9,608,495
  4. Step 4: Simplify right side
    6,283,924x = 92,323,176,165,025
  5. Step 5: Solve for x
    x = 92,323,176,165,025/6,283,924
  6. Step 6: Final answer
    x = 14,691,962.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.