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Finding the Third Proportional to 3,352,957,424 and 7,053,382,492

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Solution

The third proportional to 3,352,957,424 and 7,053,382,492 is: 14,837,708,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352,957,424 : 7,053,382,492 = 7,053,382,492 : x
  2. Step 2: Convert to fraction form
    3,352,957,424/7,053,382,492 = 7,053,382,492/x
  3. Step 3: Cross multiply
    3,352,957,424x = 7,053,382,492 × 7,053,382,492
  4. Step 4: Simplify right side
    3,352,957,424x = 49,750,204,578,452,127,744
  5. Step 5: Solve for x
    x = 49,750,204,578,452,127,744/3,352,957,424
  6. Step 6: Final answer
    x = 14,837,708,412.98

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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.