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Finding the Third Proportional to 14,609,524.50 and 22,798,563.75

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Solution

The third proportional to 14,609,524.50 and 22,798,563.75 is: 35,577,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609,524.50 : 22,798,563.75 = 22,798,563.75 : x
  2. Step 2: Convert to fraction form
    14,609,524.50/22,798,563.75 = 22,798,563.75/x
  3. Step 3: Cross multiply
    14,609,524.50x = 22,798,563.75 × 22,798,563.75
  4. Step 4: Simplify right side
    14,609,524.50x = 519,774,509,062,814.06
  5. Step 5: Solve for x
    x = 519,774,509,062,814.06/14,609,524.50
  6. Step 6: Final answer
    x = 35,577,784.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.