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Finding the Third Proportional to 2,388,683,440 and 5,236,531,904

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Solution

The third proportional to 2,388,683,440 and 5,236,531,904 is: 11,479,656,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,683,440 : 5,236,531,904 = 5,236,531,904 : x
  2. Step 2: Convert to fraction form
    2,388,683,440/5,236,531,904 = 5,236,531,904/x
  3. Step 3: Cross multiply
    2,388,683,440x = 5,236,531,904 × 5,236,531,904
  4. Step 4: Simplify right side
    2,388,683,440x = 27,421,266,381,609,865,216
  5. Step 5: Solve for x
    x = 27,421,266,381,609,865,216/2,388,683,440
  6. Step 6: Final answer
    x = 11,479,656,919.97

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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.