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Finding the Third Proportional to 3,021,419,979 and 6,502,005,123

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Solution

The third proportional to 3,021,419,979 and 6,502,005,123 is: 13,992,119,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,419,979 : 6,502,005,123 = 6,502,005,123 : x
  2. Step 2: Convert to fraction form
    3,021,419,979/6,502,005,123 = 6,502,005,123/x
  3. Step 3: Cross multiply
    3,021,419,979x = 6,502,005,123 × 6,502,005,123
  4. Step 4: Simplify right side
    3,021,419,979x = 42,276,070,619,518,246,912
  5. Step 5: Solve for x
    x = 42,276,070,619,518,246,912/3,021,419,979
  6. Step 6: Final answer
    x = 13,992,119,901.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.