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Finding the Third Proportional to 14,743,364 and 23,077,591

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Solution

The third proportional to 14,743,364 and 23,077,591 is: 36,123,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743,364 : 23,077,591 = 23,077,591 : x
  2. Step 2: Convert to fraction form
    14,743,364/23,077,591 = 23,077,591/x
  3. Step 3: Cross multiply
    14,743,364x = 23,077,591 × 23,077,591
  4. Step 4: Simplify right side
    14,743,364x = 532,575,206,363,281
  5. Step 5: Solve for x
    x = 532,575,206,363,281/14,743,364
  6. Step 6: Final answer
    x = 36,123,045.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.