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Finding the Third Proportional to 11,453,807 and 16,021,633

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Solution

The third proportional to 11,453,807 and 16,021,633 is: 22,411,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,807 : 16,021,633 = 16,021,633 : x
  2. Step 2: Convert to fraction form
    11,453,807/16,021,633 = 16,021,633/x
  3. Step 3: Cross multiply
    11,453,807x = 16,021,633 × 16,021,633
  4. Step 4: Simplify right side
    11,453,807x = 256,692,723,986,689
  5. Step 5: Solve for x
    x = 256,692,723,986,689/11,453,807
  6. Step 6: Final answer
    x = 22,411,127.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.