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Finding the Third Proportional to 2,564,196 and 5,484,144

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Solution

The third proportional to 2,564,196 and 5,484,144 is: 11,729,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,196 : 5,484,144 = 5,484,144 : x
  2. Step 2: Convert to fraction form
    2,564,196/5,484,144 = 5,484,144/x
  3. Step 3: Cross multiply
    2,564,196x = 5,484,144 × 5,484,144
  4. Step 4: Simplify right side
    2,564,196x = 30,075,835,412,736
  5. Step 5: Solve for x
    x = 30,075,835,412,736/2,564,196
  6. Step 6: Final answer
    x = 11,729,148.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.