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Finding the Third Proportional to 1,533,286,076 and 3,335,219,739

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Solution

The third proportional to 1,533,286,076 and 3,335,219,739 is: 7,254,804,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,286,076 : 3,335,219,739 = 3,335,219,739 : x
  2. Step 2: Convert to fraction form
    1,533,286,076/3,335,219,739 = 3,335,219,739/x
  3. Step 3: Cross multiply
    1,533,286,076x = 3,335,219,739 × 3,335,219,739
  4. Step 4: Simplify right side
    1,533,286,076x = 11,123,690,707,415,228,416
  5. Step 5: Solve for x
    x = 11,123,690,707,415,228,416/1,533,286,076
  6. Step 6: Final answer
    x = 7,254,804,489.21

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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.