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Finding the Third Proportional to 10,825,352 and 23,283,664

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Solution

The third proportional to 10,825,352 and 23,283,664 is: 50,079,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825,352 : 23,283,664 = 23,283,664 : x
  2. Step 2: Convert to fraction form
    10,825,352/23,283,664 = 23,283,664/x
  3. Step 3: Cross multiply
    10,825,352x = 23,283,664 × 23,283,664
  4. Step 4: Simplify right side
    10,825,352x = 542,129,009,264,896
  5. Step 5: Solve for x
    x = 542,129,009,264,896/10,825,352
  6. Step 6: Final answer
    x = 50,079,573.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.