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Finding the Third Proportional to 3,149,085,021 and 6,765,502,746

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Solution

The third proportional to 3,149,085,021 and 6,765,502,746 is: 14,535,024,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,085,021 : 6,765,502,746 = 6,765,502,746 : x
  2. Step 2: Convert to fraction form
    3,149,085,021/6,765,502,746 = 6,765,502,746/x
  3. Step 3: Cross multiply
    3,149,085,021x = 6,765,502,746 × 6,765,502,746
  4. Step 4: Simplify right side
    3,149,085,021x = 45,772,027,406,133,542,912
  5. Step 5: Solve for x
    x = 45,772,027,406,133,542,912/3,149,085,021
  6. Step 6: Final answer
    x = 14,535,024,332.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.