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Finding the Third Proportional to 6,239,917,310 and 12,697,759,036

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Solution

The third proportional to 6,239,917,310 and 12,697,759,036 is: 25,838,977,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239,917,310 : 12,697,759,036 = 12,697,759,036 : x
  2. Step 2: Convert to fraction form
    6,239,917,310/12,697,759,036 = 12,697,759,036/x
  3. Step 3: Cross multiply
    6,239,917,310x = 12,697,759,036 × 12,697,759,036
  4. Step 4: Simplify right side
    6,239,917,310x = 161,233,084,536,319,639,552
  5. Step 5: Solve for x
    x = 161,233,084,536,319,639,552/6,239,917,310
  6. Step 6: Final answer
    x = 25,838,977,750.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.