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Finding the Third Proportional to 2,717,528,096 and 5,943,743,648

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Solution

The third proportional to 2,717,528,096 and 5,943,743,648 is: 13,000,082,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717,528,096 : 5,943,743,648 = 5,943,743,648 : x
  2. Step 2: Convert to fraction form
    2,717,528,096/5,943,743,648 = 5,943,743,648/x
  3. Step 3: Cross multiply
    2,717,528,096x = 5,943,743,648 × 5,943,743,648
  4. Step 4: Simplify right side
    2,717,528,096x = 35,328,088,553,140,346,880
  5. Step 5: Solve for x
    x = 35,328,088,553,140,346,880/2,717,528,096
  6. Step 6: Final answer
    x = 13,000,082,172.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.