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Finding the Third Proportional to 10,842,240 and 14,454,368

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Solution

The third proportional to 10,842,240 and 14,454,368 is: 19,269,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,240 : 14,454,368 = 14,454,368 : x
  2. Step 2: Convert to fraction form
    10,842,240/14,454,368 = 14,454,368/x
  3. Step 3: Cross multiply
    10,842,240x = 14,454,368 × 14,454,368
  4. Step 4: Simplify right side
    10,842,240x = 208,928,754,279,424
  5. Step 5: Solve for x
    x = 208,928,754,279,424/10,842,240
  6. Step 6: Final answer
    x = 19,269,888.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.