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Finding the Third Proportional to 14,430,880 and 22,833,648

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Solution

The third proportional to 14,430,880 and 22,833,648 is: 36,129,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430,880 : 22,833,648 = 22,833,648 : x
  2. Step 2: Convert to fraction form
    14,430,880/22,833,648 = 22,833,648/x
  3. Step 3: Cross multiply
    14,430,880x = 22,833,648 × 22,833,648
  4. Step 4: Simplify right side
    14,430,880x = 521,375,480,987,904
  5. Step 5: Solve for x
    x = 521,375,480,987,904/14,430,880
  6. Step 6: Final answer
    x = 36,129,153.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.