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Finding the Third Proportional to 4,551,827 and 9,752,924

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Solution

The third proportional to 4,551,827 and 9,752,924 is: 20,896,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,827 : 9,752,924 = 9,752,924 : x
  2. Step 2: Convert to fraction form
    4,551,827/9,752,924 = 9,752,924/x
  3. Step 3: Cross multiply
    4,551,827x = 9,752,924 × 9,752,924
  4. Step 4: Simplify right side
    4,551,827x = 95,119,526,549,776
  5. Step 5: Solve for x
    x = 95,119,526,549,776/4,551,827
  6. Step 6: Final answer
    x = 20,896,999.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.