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Finding the Third Proportional to 1,787,712,264 and 2,790,194,085

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Solution

The third proportional to 1,787,712,264 and 2,790,194,085 is: 4,354,830,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,712,264 : 2,790,194,085 = 2,790,194,085 : x
  2. Step 2: Convert to fraction form
    1,787,712,264/2,790,194,085 = 2,790,194,085/x
  3. Step 3: Cross multiply
    1,787,712,264x = 2,790,194,085 × 2,790,194,085
  4. Step 4: Simplify right side
    1,787,712,264x = 7,785,183,031,968,987,136
  5. Step 5: Solve for x
    x = 7,785,183,031,968,987,136/1,787,712,264
  6. Step 6: Final answer
    x = 4,354,830,018.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.