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Finding the Third Proportional to 6,239,917,312 and 12,697,759,040

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Solution

The third proportional to 6,239,917,312 and 12,697,759,040 is: 25,838,977,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239,917,312 : 12,697,759,040 = 12,697,759,040 : x
  2. Step 2: Convert to fraction form
    6,239,917,312/12,697,759,040 = 12,697,759,040/x
  3. Step 3: Cross multiply
    6,239,917,312x = 12,697,759,040 × 12,697,759,040
  4. Step 4: Simplify right side
    6,239,917,312x = 161,233,084,637,901,717,504
  5. Step 5: Solve for x
    x = 161,233,084,637,901,717,504/6,239,917,312
  6. Step 6: Final answer
    x = 25,838,977,758.22

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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.