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Finding the Third Proportional to 10,028,583 and 21,653,190

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Solution

The third proportional to 10,028,583 and 21,653,190 is: 46,752,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,583 : 21,653,190 = 21,653,190 : x
  2. Step 2: Convert to fraction form
    10,028,583/21,653,190 = 21,653,190/x
  3. Step 3: Cross multiply
    10,028,583x = 21,653,190 × 21,653,190
  4. Step 4: Simplify right side
    10,028,583x = 468,860,637,176,100
  5. Step 5: Solve for x
    x = 468,860,637,176,100/10,028,583
  6. Step 6: Final answer
    x = 46,752,431.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.