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Finding the Third Proportional to 14,944,963 and 24,403,774

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Solution

The third proportional to 14,944,963 and 24,403,774 is: 39,849,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944,963 : 24,403,774 = 24,403,774 : x
  2. Step 2: Convert to fraction form
    14,944,963/24,403,774 = 24,403,774/x
  3. Step 3: Cross multiply
    14,944,963x = 24,403,774 × 24,403,774
  4. Step 4: Simplify right side
    14,944,963x = 595,544,185,443,076
  5. Step 5: Solve for x
    x = 595,544,185,443,076/14,944,963
  6. Step 6: Final answer
    x = 39,849,157.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.