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Finding the Third Proportional to 14,537,268 and 22,412,430

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Solution

The third proportional to 14,537,268 and 22,412,430 is: 34,553,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,268 : 22,412,430 = 22,412,430 : x
  2. Step 2: Convert to fraction form
    14,537,268/22,412,430 = 22,412,430/x
  3. Step 3: Cross multiply
    14,537,268x = 22,412,430 × 22,412,430
  4. Step 4: Simplify right side
    14,537,268x = 502,317,018,504,900
  5. Step 5: Solve for x
    x = 502,317,018,504,900/14,537,268
  6. Step 6: Final answer
    x = 34,553,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.