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Finding the Third Proportional to 536,468,084 and 1,173,362,344

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Solution

The third proportional to 536,468,084 and 1,173,362,344 is: 2,566,376,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,468,084 : 1,173,362,344 = 1,173,362,344 : x
  2. Step 2: Convert to fraction form
    536,468,084/1,173,362,344 = 1,173,362,344/x
  3. Step 3: Cross multiply
    536,468,084x = 1,173,362,344 × 1,173,362,344
  4. Step 4: Simplify right side
    536,468,084x = 1,376,779,190,317,174,272
  5. Step 5: Solve for x
    x = 1,376,779,190,317,174,272/536,468,084
  6. Step 6: Final answer
    x = 2,566,376,698.59

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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.