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Finding the Third Proportional to 10,683,270.84 and 21,744,095.06

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Solution

The third proportional to 10,683,270.84 and 21,744,095.06 is: 44,256,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,270.84 : 21,744,095.06 = 21,744,095.06 : x
  2. Step 2: Convert to fraction form
    10,683,270.84/21,744,095.06 = 21,744,095.06/x
  3. Step 3: Cross multiply
    10,683,270.84x = 21,744,095.06 × 21,744,095.06
  4. Step 4: Simplify right side
    10,683,270.84x = 472,805,670,087,036.88
  5. Step 5: Solve for x
    x = 472,805,670,087,036.88/10,683,270.84
  6. Step 6: Final answer
    x = 44,256,639.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.