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Finding the Third Proportional to 7,338,414 and 15,564,752

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Solution

The third proportional to 7,338,414 and 15,564,752 is: 33,012,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,414 : 15,564,752 = 15,564,752 : x
  2. Step 2: Convert to fraction form
    7,338,414/15,564,752 = 15,564,752/x
  3. Step 3: Cross multiply
    7,338,414x = 15,564,752 × 15,564,752
  4. Step 4: Simplify right side
    7,338,414x = 242,261,504,821,504
  5. Step 5: Solve for x
    x = 242,261,504,821,504/7,338,414
  6. Step 6: Final answer
    x = 33,012,787.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.