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Finding the Third Proportional to 14,778,900 and 23,534,324

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Solution

The third proportional to 14,778,900 and 23,534,324 is: 37,476,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778,900 : 23,534,324 = 23,534,324 : x
  2. Step 2: Convert to fraction form
    14,778,900/23,534,324 = 23,534,324/x
  3. Step 3: Cross multiply
    14,778,900x = 23,534,324 × 23,534,324
  4. Step 4: Simplify right side
    14,778,900x = 553,864,406,136,976
  5. Step 5: Solve for x
    x = 553,864,406,136,976/14,778,900
  6. Step 6: Final answer
    x = 37,476,700.30

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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.