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Finding the Third Proportional to 1,807,721,801 and 3,917,111,056

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Solution

The third proportional to 1,807,721,801 and 3,917,111,056 is: 8,487,898,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,721,801 : 3,917,111,056 = 3,917,111,056 : x
  2. Step 2: Convert to fraction form
    1,807,721,801/3,917,111,056 = 3,917,111,056/x
  3. Step 3: Cross multiply
    1,807,721,801x = 3,917,111,056 × 3,917,111,056
  4. Step 4: Simplify right side
    1,807,721,801x = 15,343,759,025,037,434,880
  5. Step 5: Solve for x
    x = 15,343,759,025,037,434,880/1,807,721,801
  6. Step 6: Final answer
    x = 8,487,898,423.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.