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Finding the Third Proportional to 14,470,616 and 23,034,324

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Solution

The third proportional to 14,470,616 and 23,034,324 is: 36,666,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470,616 : 23,034,324 = 23,034,324 : x
  2. Step 2: Convert to fraction form
    14,470,616/23,034,324 = 23,034,324/x
  3. Step 3: Cross multiply
    14,470,616x = 23,034,324 × 23,034,324
  4. Step 4: Simplify right side
    14,470,616x = 530,580,082,136,976
  5. Step 5: Solve for x
    x = 530,580,082,136,976/14,470,616
  6. Step 6: Final answer
    x = 36,666,032.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.