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Finding the Third Proportional to 1,167,119,712 and 2,520,588,634

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Solution

The third proportional to 1,167,119,712 and 2,520,588,634 is: 5,443,629,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,119,712 : 2,520,588,634 = 2,520,588,634 : x
  2. Step 2: Convert to fraction form
    1,167,119,712/2,520,588,634 = 2,520,588,634/x
  3. Step 3: Cross multiply
    1,167,119,712x = 2,520,588,634 × 2,520,588,634
  4. Step 4: Simplify right side
    1,167,119,712x = 6,353,367,061,849,986,048
  5. Step 5: Solve for x
    x = 6,353,367,061,849,986,048/1,167,119,712
  6. Step 6: Final answer
    x = 5,443,629,300.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.