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Finding the Third Proportional to 2,914,312,636 and 4,476,740,680

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Solution

The third proportional to 2,914,312,636 and 4,476,740,680 is: 6,876,821,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,312,636 : 4,476,740,680 = 4,476,740,680 : x
  2. Step 2: Convert to fraction form
    2,914,312,636/4,476,740,680 = 4,476,740,680/x
  3. Step 3: Cross multiply
    2,914,312,636x = 4,476,740,680 × 4,476,740,680
  4. Step 4: Simplify right side
    2,914,312,636x = 20,041,207,115,966,861,312
  5. Step 5: Solve for x
    x = 20,041,207,115,966,861,312/2,914,312,636
  6. Step 6: Final answer
    x = 6,876,821,267.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.