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Finding the Third Proportional to 14,660,352 and 19,278,642

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Solution

The third proportional to 14,660,352 and 19,278,642 is: 25,351,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660,352 : 19,278,642 = 19,278,642 : x
  2. Step 2: Convert to fraction form
    14,660,352/19,278,642 = 19,278,642/x
  3. Step 3: Cross multiply
    14,660,352x = 19,278,642 × 19,278,642
  4. Step 4: Simplify right side
    14,660,352x = 371,666,037,364,164
  5. Step 5: Solve for x
    x = 371,666,037,364,164/14,660,352
  6. Step 6: Final answer
    x = 25,351,781.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.