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Finding the Third Proportional to 2,648,448,075 and 5,677,147,714.50

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Solution

The third proportional to 2,648,448,075 and 5,677,147,714.50 is: 12,169,393,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,448,075 : 5,677,147,714.50 = 5,677,147,714.50 : x
  2. Step 2: Convert to fraction form
    2,648,448,075/5,677,147,714.50 = 5,677,147,714.50/x
  3. Step 3: Cross multiply
    2,648,448,075x = 5,677,147,714.50 × 5,677,147,714.50
  4. Step 4: Simplify right side
    2,648,448,075x = 32,230,006,172,252,573,696
  5. Step 5: Solve for x
    x = 32,230,006,172,252,573,696/2,648,448,075
  6. Step 6: Final answer
    x = 12,169,393,267.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.