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Finding the Third Proportional to 2,697,866,682 and 4,046,786,657

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Solution

The third proportional to 2,697,866,682 and 4,046,786,657 is: 6,070,159,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,866,682 : 4,046,786,657 = 4,046,786,657 : x
  2. Step 2: Convert to fraction form
    2,697,866,682/4,046,786,657 = 4,046,786,657/x
  3. Step 3: Cross multiply
    2,697,866,682x = 4,046,786,657 × 4,046,786,657
  4. Step 4: Simplify right side
    2,697,866,682x = 16,376,482,247,273,236,480
  5. Step 5: Solve for x
    x = 16,376,482,247,273,236,480/2,697,866,682
  6. Step 6: Final answer
    x = 6,070,159,936.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.