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Finding the Third Proportional to 22,460,409 and 45,983,214

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Solution

The third proportional to 22,460,409 and 45,983,214 is: 94,141,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,460,409 : 45,983,214 = 45,983,214 : x
  2. Step 2: Convert to fraction form
    22,460,409/45,983,214 = 45,983,214/x
  3. Step 3: Cross multiply
    22,460,409x = 45,983,214 × 45,983,214
  4. Step 4: Simplify right side
    22,460,409x = 2,114,455,969,769,796
  5. Step 5: Solve for x
    x = 2,114,455,969,769,796/22,460,409
  6. Step 6: Final answer
    x = 94,141,472.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.