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Finding the Third Proportional to 4,310,377,292 and 9,293,558,889

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Solution

The third proportional to 4,310,377,292 and 9,293,558,889 is: 20,037,744,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,377,292 : 9,293,558,889 = 9,293,558,889 : x
  2. Step 2: Convert to fraction form
    4,310,377,292/9,293,558,889 = 9,293,558,889/x
  3. Step 3: Cross multiply
    4,310,377,292x = 9,293,558,889 × 9,293,558,889
  4. Step 4: Simplify right side
    4,310,377,292x = 86,370,236,823,310,909,440
  5. Step 5: Solve for x
    x = 86,370,236,823,310,909,440/4,310,377,292
  6. Step 6: Final answer
    x = 20,037,744,023.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.