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Finding the Third Proportional to 1,905,565,670 and 4,127,703,966

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Solution

The third proportional to 1,905,565,670 and 4,127,703,966 is: 8,941,145,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,565,670 : 4,127,703,966 = 4,127,703,966 : x
  2. Step 2: Convert to fraction form
    1,905,565,670/4,127,703,966 = 4,127,703,966/x
  3. Step 3: Cross multiply
    1,905,565,670x = 4,127,703,966 × 4,127,703,966
  4. Step 4: Simplify right side
    1,905,565,670x = 17,037,940,030,932,129,792
  5. Step 5: Solve for x
    x = 17,037,940,030,932,129,792/1,905,565,670
  6. Step 6: Final answer
    x = 8,941,145,560.69

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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.