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Finding the Third Proportional to 4,521,384,390 and 6,106,870,899

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Solution

The third proportional to 4,521,384,390 and 6,106,870,899 is: 8,248,330,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521,384,390 : 6,106,870,899 = 6,106,870,899 : x
  2. Step 2: Convert to fraction form
    4,521,384,390/6,106,870,899 = 6,106,870,899/x
  3. Step 3: Cross multiply
    4,521,384,390x = 6,106,870,899 × 6,106,870,899
  4. Step 4: Simplify right side
    4,521,384,390x = 37,293,872,177,053,065,216
  5. Step 5: Solve for x
    x = 37,293,872,177,053,065,216/4,521,384,390
  6. Step 6: Final answer
    x = 8,248,330,369.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.