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Finding the Third Proportional to 10,729,176 and 22,992,412

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Solution

The third proportional to 10,729,176 and 22,992,412 is: 49,272,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729,176 : 22,992,412 = 22,992,412 : x
  2. Step 2: Convert to fraction form
    10,729,176/22,992,412 = 22,992,412/x
  3. Step 3: Cross multiply
    10,729,176x = 22,992,412 × 22,992,412
  4. Step 4: Simplify right side
    10,729,176x = 528,651,009,577,744
  5. Step 5: Solve for x
    x = 528,651,009,577,744/10,729,176
  6. Step 6: Final answer
    x = 49,272,284.24

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