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Finding the Third Proportional to 5,952,219,610 and 9,800,952,135

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Solution

The third proportional to 5,952,219,610 and 9,800,952,135 is: 16,138,292,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952,219,610 : 9,800,952,135 = 9,800,952,135 : x
  2. Step 2: Convert to fraction form
    5,952,219,610/9,800,952,135 = 9,800,952,135/x
  3. Step 3: Cross multiply
    5,952,219,610x = 9,800,952,135 × 9,800,952,135
  4. Step 4: Simplify right side
    5,952,219,610x = 96,058,662,752,561,053,696
  5. Step 5: Solve for x
    x = 96,058,662,752,561,053,696/5,952,219,610
  6. Step 6: Final answer
    x = 16,138,292,779.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.