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Finding the Third Proportional to 5,144,836 and 11,175,368

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Solution

The third proportional to 5,144,836 and 11,175,368 is: 24,274,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,836 : 11,175,368 = 11,175,368 : x
  2. Step 2: Convert to fraction form
    5,144,836/11,175,368 = 11,175,368/x
  3. Step 3: Cross multiply
    5,144,836x = 11,175,368 × 11,175,368
  4. Step 4: Simplify right side
    5,144,836x = 124,888,849,935,424
  5. Step 5: Solve for x
    x = 124,888,849,935,424/5,144,836
  6. Step 6: Final answer
    x = 24,274,602.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.