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Finding the Third Proportional to 3,007,685,444 and 4,597,975,904

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Solution

The third proportional to 3,007,685,444 and 4,597,975,904 is: 7,029,120,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,685,444 : 4,597,975,904 = 4,597,975,904 : x
  2. Step 2: Convert to fraction form
    3,007,685,444/4,597,975,904 = 4,597,975,904/x
  3. Step 3: Cross multiply
    3,007,685,444x = 4,597,975,904 × 4,597,975,904
  4. Step 4: Simplify right side
    3,007,685,444x = 21,141,382,413,764,616,192
  5. Step 5: Solve for x
    x = 21,141,382,413,764,616,192/3,007,685,444
  6. Step 6: Final answer
    x = 7,029,120,168.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.