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Finding the Third Proportional to 9,153,297 and 12,431,313

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Solution

The third proportional to 9,153,297 and 12,431,313 is: 16,883,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153,297 : 12,431,313 = 12,431,313 : x
  2. Step 2: Convert to fraction form
    9,153,297/12,431,313 = 12,431,313/x
  3. Step 3: Cross multiply
    9,153,297x = 12,431,313 × 12,431,313
  4. Step 4: Simplify right side
    9,153,297x = 154,537,542,903,969
  5. Step 5: Solve for x
    x = 154,537,542,903,969/9,153,297
  6. Step 6: Final answer
    x = 16,883,265.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.