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Finding the Third Proportional to 6,563,906 and 9,933,507

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Solution

The third proportional to 6,563,906 and 9,933,507 is: 15,032,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,906 : 9,933,507 = 9,933,507 : x
  2. Step 2: Convert to fraction form
    6,563,906/9,933,507 = 9,933,507/x
  3. Step 3: Cross multiply
    6,563,906x = 9,933,507 × 9,933,507
  4. Step 4: Simplify right side
    6,563,906x = 98,674,561,319,049
  5. Step 5: Solve for x
    x = 98,674,561,319,049/6,563,906
  6. Step 6: Final answer
    x = 15,032,902.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.