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Finding the Third Proportional to 22,905,964 and 49,090,847

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Solution

The third proportional to 22,905,964 and 49,090,847 is: 105,208,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905,964 : 49,090,847 = 49,090,847 : x
  2. Step 2: Convert to fraction form
    22,905,964/49,090,847 = 49,090,847/x
  3. Step 3: Cross multiply
    22,905,964x = 49,090,847 × 49,090,847
  4. Step 4: Simplify right side
    22,905,964x = 2,409,911,259,177,409
  5. Step 5: Solve for x
    x = 2,409,911,259,177,409/22,905,964
  6. Step 6: Final answer
    x = 105,208,899.27

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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.