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Finding the Third Proportional to 991,714,272 and 2,161,992,912

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Solution

The third proportional to 991,714,272 and 2,161,992,912 is: 4,713,266,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,714,272 : 2,161,992,912 = 2,161,992,912 : x
  2. Step 2: Convert to fraction form
    991,714,272/2,161,992,912 = 2,161,992,912/x
  3. Step 3: Cross multiply
    991,714,272x = 2,161,992,912 × 2,161,992,912
  4. Step 4: Simplify right side
    991,714,272x = 4,674,213,351,538,239,488
  5. Step 5: Solve for x
    x = 4,674,213,351,538,239,488/991,714,272
  6. Step 6: Final answer
    x = 4,713,266,193.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.