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Finding the Third Proportional to 1,146,987,911 and 2,470,464,564

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Solution

The third proportional to 1,146,987,911 and 2,470,464,564 is: 5,321,063,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,987,911 : 2,470,464,564 = 2,470,464,564 : x
  2. Step 2: Convert to fraction form
    1,146,987,911/2,470,464,564 = 2,470,464,564/x
  3. Step 3: Cross multiply
    1,146,987,911x = 2,470,464,564 × 2,470,464,564
  4. Step 4: Simplify right side
    1,146,987,911x = 6,103,195,161,979,710,464
  5. Step 5: Solve for x
    x = 6,103,195,161,979,710,464/1,146,987,911
  6. Step 6: Final answer
    x = 5,321,063,198.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.