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Finding the Third Proportional to 1,480,644,073 and 3,216,169,873

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Solution

The third proportional to 1,480,644,073 and 3,216,169,873 is: 6,985,979,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,644,073 : 3,216,169,873 = 3,216,169,873 : x
  2. Step 2: Convert to fraction form
    1,480,644,073/3,216,169,873 = 3,216,169,873/x
  3. Step 3: Cross multiply
    1,480,644,073x = 3,216,169,873 × 3,216,169,873
  4. Step 4: Simplify right side
    1,480,644,073x = 10,343,748,651,992,836,096
  5. Step 5: Solve for x
    x = 10,343,748,651,992,836,096/1,480,644,073
  6. Step 6: Final answer
    x = 6,985,979,169.89

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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.