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Finding the Third Proportional to 3,352,957,416 and 7,053,382,476

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Solution

The third proportional to 3,352,957,416 and 7,053,382,476 is: 14,837,708,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352,957,416 : 7,053,382,476 = 7,053,382,476 : x
  2. Step 2: Convert to fraction form
    3,352,957,416/7,053,382,476 = 7,053,382,476/x
  3. Step 3: Cross multiply
    3,352,957,416x = 7,053,382,476 × 7,053,382,476
  4. Step 4: Simplify right side
    3,352,957,416x = 49,750,204,352,743,890,944
  5. Step 5: Solve for x
    x = 49,750,204,352,743,890,944/3,352,957,416
  6. Step 6: Final answer
    x = 14,837,708,381.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.