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Finding the Third Proportional to 17,614,008 and 24,804,516

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Solution

The third proportional to 17,614,008 and 24,804,516 is: 34,930,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614,008 : 24,804,516 = 24,804,516 : x
  2. Step 2: Convert to fraction form
    17,614,008/24,804,516 = 24,804,516/x
  3. Step 3: Cross multiply
    17,614,008x = 24,804,516 × 24,804,516
  4. Step 4: Simplify right side
    17,614,008x = 615,264,013,994,256
  5. Step 5: Solve for x
    x = 615,264,013,994,256/17,614,008
  6. Step 6: Final answer
    x = 34,930,381.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.