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Finding the Third Proportional to 242,362,072 and 383,833,352

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Solution

The third proportional to 242,362,072 and 383,833,352 is: 607,884,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,362,072 : 383,833,352 = 383,833,352 : x
  2. Step 2: Convert to fraction form
    242,362,072/383,833,352 = 383,833,352/x
  3. Step 3: Cross multiply
    242,362,072x = 383,833,352 × 383,833,352
  4. Step 4: Simplify right side
    242,362,072x = 147,328,042,107,555,904
  5. Step 5: Solve for x
    x = 147,328,042,107,555,904/242,362,072
  6. Step 6: Final answer
    x = 607,884,067.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.