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Finding the Third Proportional to 9,148,960 and 13,457,328

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Solution

The third proportional to 9,148,960 and 13,457,328 is: 19,794,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,960 : 13,457,328 = 13,457,328 : x
  2. Step 2: Convert to fraction form
    9,148,960/13,457,328 = 13,457,328/x
  3. Step 3: Cross multiply
    9,148,960x = 13,457,328 × 13,457,328
  4. Step 4: Simplify right side
    9,148,960x = 181,099,676,899,584
  5. Step 5: Solve for x
    x = 181,099,676,899,584/9,148,960
  6. Step 6: Final answer
    x = 19,794,564.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.