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Finding the Third Proportional to 1,134,386,592 and 2,462,376,144

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Solution

The third proportional to 1,134,386,592 and 2,462,376,144 is: 5,344,999,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,386,592 : 2,462,376,144 = 2,462,376,144 : x
  2. Step 2: Convert to fraction form
    1,134,386,592/2,462,376,144 = 2,462,376,144/x
  3. Step 3: Cross multiply
    1,134,386,592x = 2,462,376,144 × 2,462,376,144
  4. Step 4: Simplify right side
    1,134,386,592x = 6,063,296,274,540,308,480
  5. Step 5: Solve for x
    x = 6,063,296,274,540,308,480/1,134,386,592
  6. Step 6: Final answer
    x = 5,344,999,947.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.