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Finding the Third Proportional to 6,221,664 and 14,412,480

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Solution

The third proportional to 6,221,664 and 14,412,480 is: 33,386,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221,664 : 14,412,480 = 14,412,480 : x
  2. Step 2: Convert to fraction form
    6,221,664/14,412,480 = 14,412,480/x
  3. Step 3: Cross multiply
    6,221,664x = 14,412,480 × 14,412,480
  4. Step 4: Simplify right side
    6,221,664x = 207,719,579,750,400
  5. Step 5: Solve for x
    x = 207,719,579,750,400/6,221,664
  6. Step 6: Final answer
    x = 33,386,499.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.