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Finding the Third Proportional to 3,044,284 and 6,564,512

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Solution

The third proportional to 3,044,284 and 6,564,512 is: 14,155,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044,284 : 6,564,512 = 6,564,512 : x
  2. Step 2: Convert to fraction form
    3,044,284/6,564,512 = 6,564,512/x
  3. Step 3: Cross multiply
    3,044,284x = 6,564,512 × 6,564,512
  4. Step 4: Simplify right side
    3,044,284x = 43,092,817,798,144
  5. Step 5: Solve for x
    x = 43,092,817,798,144/3,044,284
  6. Step 6: Final answer
    x = 14,155,321.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.