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Finding the Third Proportional to 6,233,413,410 and 13,713,497,130

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Solution

The third proportional to 6,233,413,410 and 13,713,497,130 is: 30,169,666,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233,413,410 : 13,713,497,130 = 13,713,497,130 : x
  2. Step 2: Convert to fraction form
    6,233,413,410/13,713,497,130 = 13,713,497,130/x
  3. Step 3: Cross multiply
    6,233,413,410x = 13,713,497,130 × 13,713,497,130
  4. Step 4: Simplify right side
    6,233,413,410x = 188,060,003,534,518,222,848
  5. Step 5: Solve for x
    x = 188,060,003,534,518,222,848/6,233,413,410
  6. Step 6: Final answer
    x = 30,169,666,467.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.