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Finding the Third Proportional to 1,660,980,605 and 3,920,901,309

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Solution

The third proportional to 1,660,980,605 and 3,920,901,309 is: 9,255,657,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,980,605 : 3,920,901,309 = 3,920,901,309 : x
  2. Step 2: Convert to fraction form
    1,660,980,605/3,920,901,309 = 3,920,901,309/x
  3. Step 3: Cross multiply
    1,660,980,605x = 3,920,901,309 × 3,920,901,309
  4. Step 4: Simplify right side
    1,660,980,605x = 15,373,467,074,917,912,576
  5. Step 5: Solve for x
    x = 15,373,467,074,917,912,576/1,660,980,605
  6. Step 6: Final answer
    x = 9,255,657,187.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.