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Finding the Third Proportional to 14,844,642 and 22,985,270.25

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Solution

The third proportional to 14,844,642 and 22,985,270.25 is: 35,590,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844,642 : 22,985,270.25 = 22,985,270.25 : x
  2. Step 2: Convert to fraction form
    14,844,642/22,985,270.25 = 22,985,270.25/x
  3. Step 3: Cross multiply
    14,844,642x = 22,985,270.25 × 22,985,270.25
  4. Step 4: Simplify right side
    14,844,642x = 528,322,648,465,535.06
  5. Step 5: Solve for x
    x = 528,322,648,465,535.06/14,844,642
  6. Step 6: Final answer
    x = 35,590,123.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.